Search a number
-
+
10134147265 = 511976912749
BaseRepresentation
bin10010111000000101…
…01101000011000001
3222011021012000120121
421130002231003001
5131223320203030
64353333540241
7506063554564
oct113402550301
928137160517
1010134147265
114330509920
121b69aa4681
13c56728858
146c1cc24db
153e4a5a47a
hex25c0ad0c1

10134147265 has 32 divisors (see below), whose sum is σ = 13427568000. Its totient is φ = 7281100800.

The previous prime is 10134147259. The next prime is 10134147269. The reversal of 10134147265 is 56274143101.

10134147265 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10134147265 - 225 = 10100592833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10134147265.

It is not an unprimeable number, because it can be changed into a prime (10134147269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685111 + ... + 3687859.

It is an arithmetic number, because the mean of its divisors is an integer number (419611500).

Almost surely, 210134147265 is an apocalyptic number.

It is an amenable number.

10134147265 is a deficient number, since it is larger than the sum of its proper divisors (3293420735).

10134147265 is a wasteful number, since it uses less digits than its factorization.

10134147265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 10134147265 in words is "ten billion, one hundred thirty-four million, one hundred forty-seven thousand, two hundred sixty-five".

Divisors: 1 5 11 55 97 485 691 1067 2749 3455 5335 7601 13745 30239 38005 67027 151195 266653 335135 737297 1333265 1899559 2933183 3686485 9497795 14665915 20895149 104475745 184257223 921286115 2026829453 10134147265