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10130253125 = 553787613
BaseRepresentation
bin10010110111100111…
…10110010101000101
3222010222212011211012
421123303312111011
5131221321100000
64353114252005
7506015505446
oct113363662505
928128764735
1010130253125
11432929a123
121b68727005
13c55994225
146c158b2cd
153e453b735
hex25bcf6545

10130253125 has 24 divisors (see below), whose sum is σ = 13004370792. Its totient is φ = 7885080000.

The previous prime is 10130253109. The next prime is 10130253127. The reversal of 10130253125 is 52135203101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7665527809 + 2464725316 = 87553^2 + 49646^2 .

It is not a de Polignac number, because 10130253125 - 24 = 10130253109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10130253125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130253127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71819 + ... + 159431.

It is an arithmetic number, because the mean of its divisors is an integer number (541848783).

Almost surely, 210130253125 is an apocalyptic number.

It is an amenable number.

10130253125 is a deficient number, since it is larger than the sum of its proper divisors (2874117667).

10130253125 is an frugal number, since it uses more digits than its factorization.

10130253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87675 (or 87655 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 10130253125 its reverse (52135203101), we get a palindrome (62265456226).

The spelling of 10130253125 in words is "ten billion, one hundred thirty million, two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 625 925 3125 4625 23125 87613 115625 438065 2190325 3241681 10951625 16208405 54758125 81042025 273790625 405210125 2026050625 10130253125