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10142657083 = 13193113749
BaseRepresentation
bin10010111001000110…
…01010101000111011
3222011212012100212001
421130203022220323
5131233010011313
64354240201431
7506226106546
oct113443125073
928155170761
1010142657083
1143352a1429
121b70909277
13c58418050
146c309985d
153e568badd
hex25c8caa3b

10142657083 has 16 divisors (see below), whose sum is σ = 11529700000. Its totient is φ = 8869614048.

The previous prime is 10142657069. The next prime is 10142657089. The reversal of 10142657083 is 38075624101.

10142657083 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 10142657083 - 213 = 10142648891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142657089) 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 15 ways as a sum of consecutive naturals, for example, 32293 + ... + 146041.

It is an arithmetic number, because the mean of its divisors is an integer number (720606250).

Almost surely, 210142657083 is an apocalyptic number.

10142657083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10142657083 is a deficient number, since it is larger than the sum of its proper divisors (1387042917).

10142657083 is an equidigital number, since it uses as much as digits as its factorization.

10142657083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113819 (or 113781 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10142657083 in words is "ten billion, one hundred forty-two million, six hundred fifty-seven thousand, eighty-three".

Divisors: 1 13 19 247 361 4693 6859 89167 113749 1478737 2161231 28096003 41063389 533824057 780204391 10142657083