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13140604125 = 3253111061867
BaseRepresentation
bin11000011110011110…
…11011010011011101
31020220210100212001200
430033033123103131
5203402443313000
610011532430113
7643431202125
oct141717332335
936823325050
1013140604125
11563358a410
122668918339
131315560ccc
148c92c9c85
1551d977500
hex30f3db4dd

13140604125 has 48 divisors (see below), whose sum is σ = 25841619648. Its totient is φ = 6371196000.

The previous prime is 13140604111. The next prime is 13140604129. The reversal of 13140604125 is 52140604131.

It is a happy number.

13140604125 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 604 + 12 + 5 = 666.

It is not a de Polignac number, because 13140604125 - 213 = 13140595933 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140604129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518559 + ... + 543308.

It is an arithmetic number, because the mean of its divisors is an integer number (538367076).

Almost surely, 213140604125 is an apocalyptic number.

13140604125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140604125 is a deficient number, since it is larger than the sum of its proper divisors (12701015523).

13140604125 is a wasteful number, since it uses less digits than its factorization.

13140604125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061899 (or 1061886 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13140604125 in words is "thirteen billion, one hundred forty million, six hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 4125 12375 1061867 3185601 5309335 9556803 11680537 15928005 26546675 35041611 47784015 58402685 79640025 105124833 132733375 175208055 238920075 292013425 398200125 525624165 876040275 1194600375 1460067125 2628120825 4380201375 13140604125