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10135210415 = 5111632414691
BaseRepresentation
bin10010111000001101…
…10000100110101111
3222011100012000221112
421130012300212233
5131224103213130
64353412422235
7506105603261
oct113406604657
928140160845
1010135210415
114331075660
121b6a31797b
13c56a0b735
146c20bbb31
153e4bba495
hex25c1b09af

10135210415 has 32 divisors (see below), whose sum is σ = 13407558912. Its totient is φ = 7293888000.

The previous prime is 10135210391. The next prime is 10135210417. The reversal of 10135210415 is 51401253101.

10135210415 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135210415 - 232 = 5840243119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135210417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2158220 + ... + 2162910.

It is an arithmetic number, because the mean of its divisors is an integer number (418986216).

Almost surely, 210135210415 is an apocalyptic number.

10135210415 is a deficient number, since it is larger than the sum of its proper divisors (3272348497).

10135210415 is a wasteful number, since it uses less digits than its factorization.

10135210415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111.

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 10135210415 its reverse (51401253101), we get a palindrome (61536463516).

The spelling of 10135210415 in words is "ten billion, one hundred thirty-five million, two hundred ten thousand, four hundred fifteen".

Divisors: 1 5 11 55 163 241 815 1205 1793 2651 4691 8965 13255 23455 39283 51601 196415 258005 432113 764633 1130531 2160565 3823165 5652655 8410963 12435841 42054815 62179205 184276553 921382765 2027042083 10135210415