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13114403331525 = 32521812027158867
BaseRepresentation
bin1011111011010110111101…
…0110100001110111000101
31201102201120022112220221100
42332311233112201313011
53204331244223102100
643520401305010313
72522325066024156
oct276655726416705
951381508486840
1013114403331525
1141a6872874a71
1215797ab183999
137418b5513822
14334a51d4d92d
1517b208125400
hexbed6f5a1dc5

13114403331525 has 72 divisors (see below), whose sum is σ = 23630929961184. Its totient is φ = 6952230345600.

The previous prime is 13114403331517. The next prime is 13114403331541. The reversal of 13114403331525 is 52513330441131.

13114403331525 is a `hidden beast` number, since 1 + 31 + 1 + 4 + 40 + 33 + 31 + 525 = 666.

It is not a de Polignac number, because 13114403331525 - 23 = 13114403331517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13114403331525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82470142 + ... + 82629008.

It is an arithmetic number, because the mean of its divisors is an integer number (328207360572).

Almost surely, 213114403331525 is an apocalyptic number.

13114403331525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13114403331525 is a deficient number, since it is larger than the sum of its proper divisors (10516526629659).

13114403331525 is a wasteful number, since it uses less digits than its factorization.

13114403331525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161091 (or 161083 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13114403331525 its reverse (52513330441131), we get a palindrome (65627733772656).

The spelling of 13114403331525 in words is "thirteen trillion, one hundred fourteen billion, four hundred three million, three hundred thirty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 181 225 543 905 1629 2027 2715 4525 6081 8145 10135 13575 18243 30405 40725 50675 91215 152025 158867 366887 456075 476601 794335 1100661 1429803 1834435 2383005 3301983 3971675 5503305 7149015 9172175 11915025 16509915 27516525 28754927 35745075 82549575 86264781 143774635 258794343 322023409 431323905 718873175 966070227 1293971715 1610117045 2156619525 2898210681 4830351135 6469858575 8050585225 14491053405 24151755675 58286237029 72455267025 174858711087 291431185145 524576133261 874293555435 1457155925725 2622880666305 4371467777175 13114403331525