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10505655131 = 31419785213
BaseRepresentation
bin10011100100010111…
…11001001101011011
31000010011020120120012
421302023321031123
5133003421431011
64454244352135
7521224411106
oct116213711533
930104216505
1010505655131
114501194214
1220523a564b
13cb56a25aa
1471938b73d
15417491a8b
hex2722f935b

10505655131 has 16 divisors (see below), whose sum is σ = 11223706368. Its totient is φ = 9816422400.

The previous prime is 10505655107. The next prime is 10505655133. The reversal of 10505655131 is 13155650501.

It is a cyclic number.

It is not a de Polignac number, because 10505655131 - 218 = 10505392987 is a prime.

It is a super-2 number, since 2×105056551312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10505655133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80681 + ... + 165893.

It is an arithmetic number, because the mean of its divisors is an integer number (701481648).

Almost surely, 210505655131 is an apocalyptic number.

10505655131 is a deficient number, since it is larger than the sum of its proper divisors (718051237).

10505655131 is an equidigital number, since it uses as much as digits as its factorization.

10505655131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85382.

The product of its (nonzero) digits is 11250, while the sum is 32.

The spelling of 10505655131 in words is "ten billion, five hundred five million, six hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 31 41 97 1271 3007 3977 85213 123287 2641603 3493733 8265661 108305723 256235491 338892101 10505655131