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21122210000112 = 2431360169562577
BaseRepresentation
bin1001100110101111001011…
…10100101110110011110000
32202210021010010120011212020
410303113211310232303300
510232031241230000422
6112531224225031440
74310013024442224
oct463274564566360
982707103504766
1021122210000112
116803973987921
122451761485580
13ba2a7b589bc0
1453046b32c784
152696855e795c
hex1335e5d2ecf0

21122210000112 has 80 divisors (see below), whose sum is σ = 58764152499360. Its totient is φ = 6499021971456.

The previous prime is 21122210000069. The next prime is 21122210000119. The reversal of 21122210000112 is 21100001222112.

It is a super-2 number, since 2×211222100001122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122210000091 and 21122210000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122210000119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37264168 + ... + 37826744.

It is an arithmetic number, because the mean of its divisors is an integer number (734551906242).

Almost surely, 221122210000112 is an apocalyptic number.

It is an amenable number.

21122210000112 is an abundant number, since it is smaller than the sum of its proper divisors (37641942499248).

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

21122210000112 is a wasteful number, since it uses less digits than its factorization.

21122210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622770 (or 622764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122210000112 its reverse (21100001222112), we get a palindrome (42222211222224).

The spelling of 21122210000112 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 60169 120338 180507 240676 361014 481352 562577 722028 782197 962704 1125154 1444056 1564394 1687731 2250308 2346591 2888112 3128788 3375462 4500616 4693182 6257576 6750924 7313501 9001232 9386364 12515152 13501848 14627002 18772728 21940503 27003696 29254004 37545456 43881006 58508008 87762012 117016016 175524024 351048048 33849695513 67699391026 101549086539 135398782052 203098173078 270797564104 406196346156 440046041669 541595128208 812392692312 880092083338 1320138125007 1624785384624 1760184166676 2640276250014 3520368333352 5280552500028 7040736666704 10561105000056 21122210000112