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133023012323112 = 23321847541837821
BaseRepresentation
bin11110001111101111010101…
…011001010111111100101000
3122102222212122110000200221100
4132033233111121113330220
5114413422112123314422
61150525532255241400
740006411152401562
oct3617572531277450
9572885573020840
10133023012323112
113942681960a95a
1212b04901819260
13592c02989a312
1424bc4c3470332
15105a3792337ac
hex78fbd5657f28

133023012323112 has 24 divisors (see below), whose sum is σ = 360270658375290. Its totient is φ = 44341004107680.

The previous prime is 133023012323083. The next prime is 133023012323129. The reversal of 133023012323112 is 211323210320331.

133023012323112 is a `hidden beast` number, since 1 + 3 + 30 + 2 + 301 + 2 + 323 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124667363026116 + 8355649296996 = 11165454^2 + 2890614^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1330230123231122 (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 (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923770918839 + ... + 923770918982.

Almost surely, 2133023012323112 is an apocalyptic number.

133023012323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133023012323112 is an abundant number, since it is smaller than the sum of its proper divisors (227247646052178).

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

133023012323112 is a wasteful number, since it uses less digits than its factorization.

133023012323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847541837833 (or 1847541837826 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133023012323112 its reverse (211323210320331), we get a palindrome (344346222643443).

The spelling of 133023012323112 in words is "one hundred thirty-three trillion, twenty-three billion, twelve million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1847541837821 3695083675642 5542625513463 7390167351284 11085251026926 14780334702568 16627876540389 22170502053852 33255753080778 44341004107704 66511506161556 133023012323112