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211220020121022 = 233113193111231943
BaseRepresentation
bin110000000001101001111110…
…010001001100110110111110
31000200212102210100221221111000
4300001221332101030312332
5210141112100122333042
62025121045423511130
762330100000624003
oct6001517621146676
91020772710857430
10211220020121022
11613349a8955720
121b833a314584a6
1390b1c68603253
143a231640bd8aa
1519644b65b074c
hexc01a7e44cdbe

211220020121022 has 128 divisors (see below), whose sum is σ = 528623425290240. Its totient is φ = 61934652108000.

The previous prime is 211220020120987. The next prime is 211220020121051. The reversal of 211220020121022 is 220121020022112.

It is a happy number.

211220020121022 is a `hidden beast` number, since 2 + 11 + 220 + 0 + 201 + 210 + 22 = 666.

211220020121022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112200201210222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211220020120986 and 211220020121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170836783 + ... + 172068725.

It is an arithmetic number, because the mean of its divisors is an integer number (4129870510080).

Almost surely, 2211220020121022 is an apocalyptic number.

211220020121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220020121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264311712645120).

211220020121022 is an abundant number, since it is smaller than the sum of its proper divisors (317403405169218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211220020121022 is a wasteful number, since it uses less digits than its factorization.

211220020121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241307 (or 1241301 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211220020121022 its reverse (220121020022112), we get a palindrome (431341040143134).

It can be divided in two parts, 2112200 and 20121022, that added together give a palindrome (22233222).

The spelling of 211220020121022 in words is "two hundred eleven trillion, two hundred twenty billion, twenty million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 9311 18414 18622 27933 55866 83799 102421 167598 204842 251397 288641 307263 502794 577282 614526 865923 921789 1231943 1731846 1843578 2463886 2597769 2765367 3175051 3695829 5195538 5530734 6350102 7391658 7793307 9525153 11087487 13551373 15586614 19050306 22174974 27102746 28575459 33262461 38190233 40654119 57150918 66524922 76380466 81308238 85726377 114570699 121962357 171452754 229141398 243924714 343712097 365887071 420092563 687424194 731774142 840185126 1031136291 1260277689 2062272582 2520555378 3780833067 7561666134 11342499201 11470621273 22684998402 22941242546 34411863819 68823727638 103235591457 126176834003 206471182914 252353668006 309706774371 355589259463 378530502009 619413548742 711178518926 757061004018 1066767778389 1135591506027 2133535556778 2271183012054 3200303335167 3406774518081 3911481854093 6400606670334 6813549036162 7822963708186 9600910005501 11734445562279 19201820011002 23468891124558 35203336686837 70406673373674 105610010060511 211220020121022