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20011331021022 = 23311612392310797
BaseRepresentation
bin1001000110011010000000…
…10001101110100011011110
32121212001202001210000101000
410203031000101232203132
510110331201220133042
6110321024545131130
74133525303064405
oct443150021564336
977761661700330
1020011331021022
116415837737920
1222b23b6329aa6
13b220a297aac3
144d27a709863c
1524a819a1074c
hex12334046e8de

20011331021022 has 128 divisors (see below), whose sum is σ = 49513930905600. Its totient is φ = 5939670038400.

The previous prime is 20011331020951. The next prime is 20011331021029. The reversal of 20011331021022 is 22012013311002.

20011331021022 is a `hidden beast` number, since 200 + 113 + 310 + 21 + 0 + 22 = 666.

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 = 20011331020986 and 20011331021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011331021029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7504528 + ... + 9815324.

It is an arithmetic number, because the mean of its divisors is an integer number (386827585200).

Almost surely, 220011331021022 is an apocalyptic number.

20011331021022 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 20011331021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756965452800).

20011331021022 is an abundant number, since it is smaller than the sum of its proper divisors (29502599884578).

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

20011331021022 is a wasteful number, since it uses less digits than its factorization.

20011331021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311119 (or 2311113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20011331021022 its reverse (22012013311002), we get a palindrome (42023344332024).

The spelling of 20011331021022 in words is "twenty trillion, eleven billion, three hundred thirty-one million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 239 297 366 478 549 594 671 717 1098 1342 1434 1647 2013 2151 2629 3294 4026 4302 5258 6039 6453 7887 12078 12906 14579 15774 18117 23661 29158 36234 43737 47322 70983 87474 131211 141966 160369 262422 320738 393633 481107 787266 962214 1443321 2310797 2886642 4329963 4621594 6932391 8659926 13864782 20797173 25418767 41594346 50837534 62391519 76256301 124783038 140958617 152512602 228768903 281917234 422875851 457537806 552280483 686306709 845751702 1104560966 1268627553 1372613418 1550544787 1656841449 2537255106 3101089574 3313682898 3805882659 4651634361 4970524347 6075085313 7611765318 9303268722 9941048694 12150170626 13954903083 14911573041 18225255939 27909806166 29823146082 33689109463 36450511878 41864709249 54675767817 67378218926 83729418498 101067328389 109351535634 164027303451 202134656778 303201985167 328054606902 370580204093 606403970334 741160408186 909605955501 1111740612279 1819211911002 2223481224558 3335221836837 6670443673674 10005665510511 20011331021022