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10137465132 = 2234801175961
BaseRepresentation
bin10010111000011110…
…10111000100101100
3222011111102120211120
421130033113010230
5131230142341012
64353533020540
7506134013634
oct113417270454
928144376746
1010137465132
114332375663
121b6b024750
13c5731aaa2
146c25076c4
153e4eb358c
hex25c3d712c

10137465132 has 24 divisors (see below), whose sum is σ = 23659146672. Its totient is φ = 3378432000.

The previous prime is 10137465061. The next prime is 10137465157. The reversal of 10137465132 is 23156473101.

10137465132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10137465093 and 10137465102.

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 7 ways as a sum of consecutive naturals, for example, 30369 + ... + 145592.

It is an arithmetic number, because the mean of its divisors is an integer number (985797778).

Almost surely, 210137465132 is an apocalyptic number.

10137465132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10137465132 is an abundant number, since it is smaller than the sum of its proper divisors (13521681540).

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

10137465132 is a wasteful number, since it uses less digits than its factorization.

10137465132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180769 (or 180767 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 1013746 and 5132, that added together give a triangular number (1018878 = T1427).

The spelling of 10137465132 in words is "ten billion, one hundred thirty-seven million, four hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 4801 9602 14403 19204 28806 57612 175961 351922 527883 703844 1055766 2111532 844788761 1689577522 2534366283 3379155044 5068732566 10137465132