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10613125125 = 325331347877
BaseRepresentation
bin10011110001001011…
…10111000000000101
31000101122110121200100
421320211313000011
5133213430001000
64513044034313
7524001034521
oct117045670005
930348417610
1010613125125
114556917a99
122082392999
131001a301c5
14729764d81
15421b1ea00
hex278977005

10613125125 has 96 divisors (see below), whose sum is σ = 19828583424. Its totient is φ = 5455728000.

The previous prime is 10613125121. The next prime is 10613125141. The reversal of 10613125125 is 52152131601.

10613125125 is a `hidden beast` number, since 1 + 0 + 613 + 1 + 25 + 1 + 25 = 666.

It is not a de Polignac number, because 10613125125 - 22 = 10613125121 is a prime.

It is a super-2 number, since 2×106131251252 (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 (10613125121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12101187 + ... + 12102063.

It is an arithmetic number, because the mean of its divisors is an integer number (206547744).

Almost surely, 210613125125 is an apocalyptic number.

10613125125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10613125125 is a deficient number, since it is larger than the sum of its proper divisors (9215458299).

10613125125 is a wasteful number, since it uses less digits than its factorization.

10613125125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10613125125 its reverse (52152131601), we get a palindrome (62765256726).

The spelling of 10613125125 in words is "ten billion, six hundred thirteen million, one hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 347 375 465 775 877 1041 1125 1395 1735 2325 2631 3123 3875 4385 5205 6975 7893 8675 10757 11625 13155 15615 21925 26025 27187 32271 34875 39465 43375 53785 65775 78075 81561 96813 109625 130125 135935 161355 197325 244683 268925 304319 328875 390375 407805 484065 679675 806775 912957 986625 1223415 1344625 1521595 2039025 2420325 2738871 3398375 4033875 4564785 6117075 7607975 9433889 10195125 12101625 13694355 22823925 28301667 30585375 38039875 47169445 68471775 84905001 114119625 141508335 235847225 342358875 424525005 707541675 1179236125 2122625025 3537708375 10613125125