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211220121002022 = 2321141158031646443
BaseRepresentation
bin110000000001101010000100…
…010010000010000000100110
31000200212110001101210020012100
4300001222010102002000212
5210141112301434031042
62025121103430032530
762330102334245466
oct6001520422020046
91020773041706170
10211220121002022
1161334a4a899050
121b833a5b1a8746
1390b1c83494a52
143a2317365dba6
1519644c038b24c
hexc01a84482026

211220121002022 has 96 divisors (see below), whose sum is σ = 511457001584256. Its totient is φ = 62440983561600.

The previous prime is 211220121001987. The next prime is 211220121002047. The reversal of 211220121002022 is 220200121022112.

It is a happy number.

211220121002022 is a `hidden beast` number, since 211 + 2 + 201 + 210 + 0 + 20 + 22 = 666.

It is a super-2 number, since 2×2112201210020222 (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 = 211220121001986 and 211220121002004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127465533 + ... + 129111975.

It is an arithmetic number, because the mean of its divisors is an integer number (5327677099836).

Almost surely, 2211220121002022 is an apocalyptic number.

211220121002022 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 211220121002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255728500792128).

211220121002022 is an abundant number, since it is smaller than the sum of its proper divisors (300236880582234).

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

211220121002022 is a wasteful number, since it uses less digits than its factorization.

211220121002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662306 (or 1662303 counting only the distinct ones).

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

Adding to 211220121002022 its reverse (220200121022112), we get a palindrome (431420242024134).

The spelling of 211220121002022 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 15803 31606 47409 94818 142227 173833 284454 347666 521499 647923 1042998 1295846 1564497 1646443 1943769 3128994 3292886 3887538 4939329 5831307 7127153 9878658 11662614 14254306 14817987 18110873 21381459 29635974 36221746 42762918 54332619 64144377 67504163 108665238 128288754 135008326 162997857 202512489 325995714 405024978 607537467 742545793 1215074934 1485091586 2227637379 4455274758 6682912137 13365824274 26018738729 52037477458 78056216187 156112432374 234168648561 286206126019 468337297122 572412252038 858618378057 1066768287889 1717236756114 2133536575778 2575855134171 3200304863667 5151710268342 6400609727334 9600914591001 11734451166779 19201829182002 23468902333558 35203353500337 70406707000674 105610060501011 211220121002022