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10135136025 = 325277338779
BaseRepresentation
bin10010111000001100…
…11110011100011001
3222011100001020220100
421130012132130121
5131224043323100
64353411050013
7506105143350
oct113406363431
928140036810
1010135136025
114331024783
121b6a2a0909
13c569b3911
146c209c997
153e4ba3400
hex25c19e719

10135136025 has 72 divisors (see below), whose sum is σ = 20777132480. Its totient is φ = 4626357120.

The previous prime is 10135136017. The next prime is 10135136051. The reversal of 10135136025 is 52063153101.

10135136025 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 51 + 3 + 602 + 5 = 666.

10135136025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135136025 - 23 = 10135136017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10135136025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1150086 + ... + 1158864.

Almost surely, 210135136025 is an apocalyptic number.

10135136025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10135136025 is an abundant number, since it is smaller than the sum of its proper divisors (10641996455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135136025 is a wasteful number, since it uses less digits than its factorization.

10135136025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9535 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10135136025 its reverse (52063153101), we get a palindrome (62198289126).

The spelling of 10135136025 in words is "ten billion, one hundred thirty-five million, one hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 733 1575 2199 3665 5131 6597 8779 10995 15393 18325 25655 26337 32985 43895 46179 54975 61453 76965 79011 128275 131685 164925 184359 219475 230895 307265 384825 395055 553077 658425 921795 1154475 1536325 1975275 2765385 4608975 6435007 13826925 19305021 32175035 45045049 57915063 96525105 135135147 160875175 225225245 289575315 405405441 482625525 675675735 1126126225 1447876575 2027027205 3378378675 10135136025