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21002211110322 = 23213293783646821
BaseRepresentation
bin1001100011001111101010…
…10101010010110110110010
32202100210101012110222021200
410301213311111102312302
510223100012021012242
6112400141012232030
74265234240632461
oct461476525226662
982323335428250
1021002211110322
116767a95710932
12243245200b616
13b946666a0c80
145287261d49d8
152664b07b104c
hex1319f5552db2

21002211110322 has 96 divisors (see below), whose sum is σ = 52065127885680. Its totient is φ = 6070751608320.

The previous prime is 21002211110317. The next prime is 21002211110329. The reversal of 21002211110322 is 22301111220012.

21002211110322 is a `hidden beast` number, since 2 + 10 + 0 + 221 + 1 + 110 + 322 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16362016910001 + 4640194200321 = 4044999^2 + 2154111^2 .

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 = 21002211110295 and 21002211110304.

It is not an unprimeable number, because it can be changed into a prime (21002211110329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41572329 + ... + 42074492.

Almost surely, 221002211110322 is an apocalyptic number.

21002211110322 is an abundant number, since it is smaller than the sum of its proper divisors (31062916775358).

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

21002211110322 is a wasteful number, since it uses less digits than its factorization.

21002211110322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83646908 (or 83646905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21002211110322 its reverse (22301111220012), we get a palindrome (43303322330334).

The spelling of 21002211110322 in words is "twenty-one trillion, two billion, two hundred eleven million, one hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 37 39 58 74 78 87 111 117 174 222 234 261 333 377 481 522 666 754 962 1073 1131 1443 2146 2262 2886 3219 3393 4329 6438 6786 8658 9657 13949 19314 27898 41847 83694 125541 251082 83646821 167293642 250940463 501880926 752821389 1087408673 1505642778 2174817346 2425757809 3094932377 3262226019 4851515618 6189864754 6524452038 7277273427 9284797131 9786678057 14554546854 18569594262 19573356114 21831820281 27854391393 31534851517 40234120901 43663640562 55708782786 63069703034 80468241802 89753038933 94604554551 120702362703 179506077866 189209109102 241404725406 269259116799 283813663653 362107088109 538518233598 567627327306 724214176218 807777350397 1166789506129 1615554700794 2333579012258 3500368518387 7000737036774 10501105555161 21002211110322