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13140564101565 = 35101107199407347
BaseRepresentation
bin1011111100111000011010…
…1001111100100110111101
31201112020002111122201220020
42333032012221330212331
53210243333402222230
643540405233042353
72524242266633565
oct277160651744675
951466074581806
1013140564101565
11420697795277a
1215828903b63b9
137441c4387304
14336014533da5
1517bc39b84810
hexbf386a7c9bd

13140564101565 has 64 divisors (see below), whose sum is σ = 21539258726400. Its totient is φ = 6839502278400.

The previous prime is 13140564101557. The next prime is 13140564101597. The reversal of 13140564101565 is 56510146504131.

It is a happy number.

It is not a de Polignac number, because 13140564101565 - 23 = 13140564101557 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32055222 + ... + 32462568.

It is an arithmetic number, because the mean of its divisors is an integer number (336550917600).

Almost surely, 213140564101565 is an apocalyptic number.

13140564101565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140564101565 is a deficient number, since it is larger than the sum of its proper divisors (8398694624835).

13140564101565 is a wasteful number, since it uses less digits than its factorization.

13140564101565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407762.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 13140564101565 in words is "thirteen trillion, one hundred forty billion, five hundred sixty-four million, one hundred one thousand, five hundred sixty-five".

Divisors: 1 3 5 15 101 107 199 303 321 505 535 597 995 1515 1605 2985 10807 20099 21293 32421 54035 60297 63879 100495 106465 162105 301485 319395 407347 1222041 2036735 2150593 6110205 6451779 10752965 32258895 41142047 43586129 81062053 123426141 130758387 205710235 217930645 243186159 405310265 617130705 653791935 1215930795 4402199029 8187267353 8673639671 13206597087 22010995145 24561802059 26020919013 40936336765 43368198355 66032985435 122809010295 130104595065 876037606771 2628112820313 4380188033855 13140564101565