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10170543131 = 717424320143
BaseRepresentation
bin10010111100011011…
…00010110000011011
3222020210200010022122
421132031202300123
5131312124340011
64401114011455
7510015122150
oct113615426033
928223603278
1010170543131
11434a008651
121b7a116b8b
13c6112ca78
146c6a78227
153e7d493db
hex25e362c1b

10170543131 has 16 divisors (see below), whose sum is σ = 12310723584. Its totient is φ = 8202466944.

The previous prime is 10170543127. The next prime is 10170543181. The reversal of 10170543131 is 13134507101.

10170543131 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 10170543131 - 22 = 10170543127 is a prime.

It is a super-2 number, since 2×101705431312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10170543131.

It is not an unprimeable number, because it can be changed into a prime (10170543101) 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, 494846 + ... + 514988.

It is an arithmetic number, because the mean of its divisors is an integer number (769420224).

Almost surely, 210170543131 is an apocalyptic number.

10170543131 is a deficient number, since it is larger than the sum of its proper divisors (2140180453).

10170543131 is a wasteful number, since it uses less digits than its factorization.

10170543131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24410.

The product of its (nonzero) digits is 1260, while the sum is 26.

The spelling of 10170543131 in words is "ten billion, one hundred seventy million, five hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 7 17 119 4243 20143 29701 72131 141001 342431 504917 2397017 85466749 598267243 1452934733 10170543131