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13157731400 = 23521117351811
BaseRepresentation
bin11000100000100001…
…10000110001001000
31020221222121000021012
430100100300301020
5203421334401100
610013343503052
7644026604642
oct142020606110
936858530235
1013157731400
115642218390
1226725b7a88
131318c799a8
148cb6a7892
1552020c135
hex310430c48

13157731400 has 96 divisors (see below), whose sum is σ = 35335997280. Its totient is φ = 4503168000.

The previous prime is 13157731397. The next prime is 13157731409. The reversal of 13157731400 is 413775131.

It is not an unprimeable number, because it can be changed into a prime (13157731409) 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, 138506 + ... + 213305.

It is an arithmetic number, because the mean of its divisors is an integer number (368083305).

Almost surely, 213157731400 is an apocalyptic number.

13157731400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13157731400 is an abundant number, since it is smaller than the sum of its proper divisors (22178265880).

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

13157731400 is a wasteful number, since it uses less digits than its factorization.

13157731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351855 (or 351846 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 13157731400 in words is "thirteen billion, one hundred fifty-seven million, seven hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 351811 703622 1407244 1759055 2814488 3518110 3869921 5980787 7036220 7739842 8795275 11961574 14072440 15479684 17590550 19349605 23923148 29903935 30959368 35181100 38699210 47846296 59807870 65788657 70362200 77398420 96748025 119615740 131577314 149519675 154796840 193496050 239231480 263154628 299039350 328943285 386992100 526309256 598078700 657886570 773984200 1196157400 1315773140 1644716425 2631546280 3289432850 6578865700 13157731400