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13022032323131 = 1322315727213019
BaseRepresentation
bin1011110101111110110110…
…0111000110001000111011
31201002220010211012111202022
42331133231213012020323
53201323110233320011
643410123345425055
72512545046302536
oct275375547061073
951086124174668
1013022032323131
114170681843207
12156391033b18b
13735c84416900
143303ac1bba1d
15178aeda4c8db
hexbd7ed9c623b

13022032323131 has 24 divisors (see below), whose sum is σ = 14714862635520. Its totient is φ = 11496929105376.

The previous prime is 13022032323109. The next prime is 13022032323133. The reversal of 13022032323131 is 13132323022031.

It is a de Polignac number, because none of the positive numbers 2k-13022032323131 is a prime.

It is a super-2 number, since 2×130220323231312 (a number of 27 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 13022032323131.

It is not an unprimeable number, because it can be changed into a prime (13022032323133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61024340 + ... + 61237358.

It is an arithmetic number, because the mean of its divisors is an integer number (613119276480).

Almost surely, 213022032323131 is an apocalyptic number.

13022032323131 is a deficient number, since it is larger than the sum of its proper divisors (1692830312389).

13022032323131 is a wasteful number, since it uses less digits than its factorization.

13022032323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228795 (or 228782 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13022032323131 its reverse (13132323022031), we get a palindrome (26154355345162).

The spelling of 13022032323131 in words is "thirteen trillion, twenty-two billion, thirty-two million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 13 23 169 299 3887 15727 204451 213019 361721 2657863 2769247 4702373 4899437 36000211 61130849 63692681 828004853 3350149813 43551947569 77053445699 566175318397 1001694794087 13022032323131