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111002212021122 = 232122940211247881
BaseRepresentation
bin11001001111010010110111…
…011010101011001110000010
3112120000201010000021112010100
4121033102313122223032002
5104022130012234133442
61032025413501343230
732244434202243012
oct3117226732531602
9476021100245110
10111002212021122
1132406856956314
1210548b80267b16
1349c260491a126
141d5a770073c42
15cc765026c84c
hex64f4b76ab382

111002212021122 has 48 divisors (see below), whose sum is σ = 240760537949880. Its totient is φ = 36961406956800.

The previous prime is 111002212021121. The next prime is 111002212021159. The reversal of 111002212021122 is 221120212200111.

It can be written as a sum of positive squares in 4 ways, for example, as 108502243106481 + 2499968914641 = 10416441^2 + 1581129^2 .

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 = 111002212021095 and 111002212021104.

It is not an unprimeable number, because it can be changed into a prime (111002212021121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88328622 + ... + 89576502.

Almost surely, 2111002212021122 is an apocalyptic number.

111002212021122 is an abundant number, since it is smaller than the sum of its proper divisors (129758325928758).

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

111002212021122 is a wasteful number, since it uses less digits than its factorization.

111002212021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253139 (or 1253136 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111002212021122 its reverse (221120212200111), we get a palindrome (332122424221233).

The spelling of 111002212021122 in words is "one hundred eleven trillion, two billion, two hundred twelve million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1229 2458 3687 4021 7374 8042 11061 12063 22122 24126 36189 72378 1247881 2495762 3743643 4941809 7487286 9883618 11230929 14825427 22461858 29650854 44476281 88952562 1533645749 3067291498 4600937247 5017729501 9201874494 10035459002 13802811741 15053188503 27605623482 30106377006 45159565509 90319131018 6166789556729 12333579113458 18500368670187 37000737340374 55501106010561 111002212021122