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10135257327 = 331328875377
BaseRepresentation
bin10010111000001101…
…11100000011101111
3222011100021102022000
421130012330003233
5131224111213302
64353413423343
7506106160116
oct113406740357
928140242260
1010135257327
1143310a7928
121b6a33ab53
13c56a26bb0
146c20d0c7d
153e4bc931c
hex25c1bc0ef

10135257327 has 16 divisors (see below), whose sum is σ = 16170211680. Its totient is φ = 6237081216.

The previous prime is 10135257311. The next prime is 10135257367. The reversal of 10135257327 is 72375253101.

It is a happy number.

10135257327 is a `hidden beast` number, since 1 + 0 + 13 + 52 + 573 + 27 = 666.

It is not a de Polignac number, because 10135257327 - 24 = 10135257311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10135257291 and 10135257300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135257367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14437338 + ... + 14438039.

It is an arithmetic number, because the mean of its divisors is an integer number (1010638230).

Almost surely, 210135257327 is an apocalyptic number.

10135257327 is a deficient number, since it is larger than the sum of its proper divisors (6034954353).

10135257327 is a wasteful number, since it uses less digits than its factorization.

10135257327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28875399 (or 28875393 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 10135257327 in words is "ten billion, one hundred thirty-five million, two hundred fifty-seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 28875377 86626131 259878393 375379901 779635179 1126139703 3378419109 10135257327