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13123856052 = 22321812014097
BaseRepresentation
bin11000011100011111…
…00010011010110100
31020212121211222000200
430032033202122310
5203334201343202
610010133440500
7643135635666
oct141617423264
936777758020
1013123856052
11562509032a
1226631a0130
131311c48ac8
148c6daa536
1551c269e1c
hex30e3e26b4

13123856052 has 36 divisors (see below), whose sum is σ = 33357491076. Its totient is φ = 4350447360.

The previous prime is 13123856033. The next prime is 13123856059. The reversal of 13123856052 is 25065832131.

13123856052 is a `hidden beast` number, since 1 + 3 + 12 + 38 + 5 + 605 + 2 = 666.

13123856052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2688007716 + 10435848336 = 51846^2 + 102156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13123855998 and 13123856016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123856059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000533 + ... + 1013564.

Almost surely, 213123856052 is an apocalyptic number.

13123856052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123856052 is an abundant number, since it is smaller than the sum of its proper divisors (20233635024).

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

13123856052 is a wasteful number, since it uses less digits than its factorization.

13123856052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014288 (or 2014283 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13123856052 in words is "thirteen billion, one hundred twenty-three million, eight hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 2014097 4028194 6042291 8056388 12084582 18126873 24169164 36253746 72507492 364551557 729103114 1093654671 1458206228 2187309342 3280964013 4374618684 6561928026 13123856052