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110223013210112 = 211112444791989
BaseRepresentation
bin11001000011111101001011…
…100011000110100000000000
3112110021012212022020200001202
4121003331023203012200000
5103421343212340210422
61030231430410520332
732134231006522565
oct3103751343064000
9473235768220052
10110223013210112
11321363544a3800
1210441b601360a8
134966ca732650a
141d30b7258c86c
15cb2248205b92
hex643f4b8c6800

110223013210112 has 72 divisors (see below), whose sum is σ = 242249285473650. Its totient is φ = 50101369528320.

The previous prime is 110223013210087. The next prime is 110223013210127. The reversal of 110223013210112 is 211012310322011.

It can be written as a sum of positive squares in only one way, i.e., 94337240605696 + 15885772604416 = 9712736^2 + 3985696^2 .

It is a super-2 number, since 2×1102230132101122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222148187 + ... + 222643802.

Almost surely, 2110223013210112 is an apocalyptic number.

It is an amenable number.

110223013210112 is an abundant number, since it is smaller than the sum of its proper divisors (132026272263538).

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

110223013210112 is an equidigital number, since it uses as much as digits as its factorization.

110223013210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444792033 (or 444792002 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 110223013210112 its reverse (211012310322011), we get a palindrome (321235323532123).

The spelling of 110223013210112 in words is "one hundred ten trillion, two hundred twenty-three billion, thirteen million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 5632 7744 11264 15488 22528 30976 61952 123904 247808 444791989 889583978 1779167956 3558335912 4892711879 7116671824 9785423758 14233343648 19570847516 28466687296 39141695032 53819830669 56933374592 78283390064 107639661338 113866749184 156566780128 215279322676 227733498368 313133560256 430558645352 455466996736 626267120512 861117290704 910933993472 1252534241024 1722234581408 2505068482048 3444469162816 5010136964096 6888938325632 10020273928192 13777876651264 27555753302528 55111506605056 110223013210112