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10164313125 = 32544342023
BaseRepresentation
bin10010111011101011…
…10001110000100101
3222020100221121100200
421131311301300211
5131304031010000
64400332301113
7506611143651
oct113565616045
928210847320
1010164313125
11434654298a
121b78011799
13c5ca5b185
146c5cd5a61
153e7518500
hex25dd71c25

10164313125 has 60 divisors (see below), whose sum is σ = 18773465568. Its totient is φ = 5294772000.

The previous prime is 10164313123. The next prime is 10164313127. The reversal of 10164313125 is 52131346101.

It is a happy number.

10164313125 is a `hidden beast` number, since 1 + 0 + 1 + 643 + 1 + 3 + 12 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10164313123) and next prime (10164313127).

It is not a de Polignac number, because 10164313125 - 21 = 10164313123 is a prime.

It is a super-2 number, since 2×101643131252 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164313123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 220864 + ... + 262886.

Almost surely, 210164313125 is an apocalyptic number.

10164313125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10164313125 is a deficient number, since it is larger than the sum of its proper divisors (8609152443).

10164313125 is an equidigital number, since it uses as much as digits as its factorization.

10164313125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42092 (or 42074 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10164313125 its reverse (52131346101), we get a palindrome (62295659226).

The spelling of 10164313125 in words is "ten billion, one hundred sixty-four million, three hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 215 225 375 387 625 645 1075 1125 1875 1935 3225 5375 5625 9675 16125 26875 42023 48375 80625 126069 210115 241875 378207 630345 1050575 1806989 1891035 3151725 5252875 5420967 9034945 9455175 15758625 16262901 26264375 27104835 45174725 47275875 78793125 81314505 135524175 225873625 236379375 406572525 677620875 1129368125 2032862625 3388104375 10164313125