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13731737701300 = 2252679320214541
BaseRepresentation
bin1100011111010010101101…
…0110010000101110110100
31210121202000102002012102221
43013310223112100232310
53244440044322420200
645112135003012124
72615041155421333
oct307645326205664
953552012065387
1013731737701300
114414662a460a3
12165937720a044
13787b88507168
14356896471d1a
1518c2d9bb791a
hexc7d2b590bb4

13731737701300 has 36 divisors (see below), whose sum is σ = 29802258841516. Its totient is φ = 5491886227200.

The previous prime is 13731737701247. The next prime is 13731737701349. The reversal of 13731737701300 is 310773713731.

It can be written as a sum of positive squares in 6 ways, for example, as 4472692035876 + 9259045665424 = 2114874^2 + 3042868^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9427971 + ... + 10786570.

Almost surely, 213731737701300 is an apocalyptic number.

13731737701300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13731737701300 is an abundant number, since it is smaller than the sum of its proper divisors (16070521140216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13731737701300 is a wasteful number, since it uses less digits than its factorization.

13731737701300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221348 (or 20221341 counting only the distinct ones).

The product of its (nonzero) digits is 194481, while the sum is 43.

The spelling of 13731737701300 in words is "thirteen trillion, seven hundred thirty-one billion, seven hundred thirty-seven million, seven hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6793 13586 27172 33965 67930 135860 169825 339650 679300 20214541 40429082 80858164 101072705 202145410 404290820 505363525 1010727050 2021454100 137317377013 274634754026 549269508052 686586885065 1373173770130 2746347540260 3432934425325 6865868850650 13731737701300