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10132314129 = 3272191209251
BaseRepresentation
bin10010110111110111…
…01101100000010001
3222011010201212222200
421123323231200101
5131222333023004
64353230353413
7506042151300
oct113373554021
928133655880
1010132314129
11432a477633
121b6935b869
13c56236362
146c1966437
153e47e7239
hex25beed811

10132314129 has 36 divisors (see below), whose sum is σ = 17921114640. Its totient is φ = 5485158000.

The previous prime is 10132314121. The next prime is 10132314187. The reversal of 10132314129 is 92141323101.

10132314129 is a `hidden beast` number, since 1 + 0 + 13 + 231 + 412 + 9 = 666.

It is not a de Polignac number, because 10132314129 - 23 = 10132314121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10132314121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596247 + ... + 613004.

It is an arithmetic number, because the mean of its divisors is an integer number (497808740).

Almost surely, 210132314129 is an apocalyptic number.

10132314129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10132314129 is a deficient number, since it is larger than the sum of its proper divisors (7788800511).

10132314129 is a wasteful number, since it uses less digits than its factorization.

10132314129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209290 (or 1209280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10132314129 in words is "ten billion, one hundred thirty-two million, three hundred fourteen thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 1209251 3627753 8464757 10883259 22975769 25394271 59253299 68927307 76182813 160830383 177759897 206781921 482491149 533279691 1125812681 1447473447 3377438043 10132314129