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10038131052 = 223836510921
BaseRepresentation
bin10010101100101000…
…11011100101101100
3221220120111220002120
421112110123211230
5131024230143202
64340023552540
7503516464125
oct112624334554
927816456076
1010038131052
114291299484
121b418bb750
13c3c87b421
146b324b04c
153db3e10bc
hex25651b96c

10038131052 has 12 divisors (see below), whose sum is σ = 23422305816. Its totient is φ = 3346043680.

The previous prime is 10038131041. The next prime is 10038131093. The reversal of 10038131052 is 25013183001.

10038131052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 418255449 + ... + 418255472.

It is an arithmetic number, because the mean of its divisors is an integer number (1951858818).

Almost surely, 210038131052 is an apocalyptic number.

10038131052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10038131052 is an abundant number, since it is smaller than the sum of its proper divisors (13384174764).

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

10038131052 is a wasteful number, since it uses less digits than its factorization.

10038131052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836510928 (or 836510926 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10038131052 in words is "ten billion, thirty-eight million, one hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 12 836510921 1673021842 2509532763 3346043684 5019065526 10038131052