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20310113700 = 22325235416373
BaseRepresentation
bin10010111010100100…
…111011110110100100
31221102110001200021100
4102322210323312210
5313043342114300
613155204120100
71316206055322
oct227244736644
957373050240
1020310113700
118682591038
123b29996030
131bb8a06c76
14da956cd12
157dd0c6700
hex4ba93bda4

20310113700 has 108 divisors (see below), whose sum is σ = 63688893268. Its totient is φ = 5413651200.

The previous prime is 20310113657. The next prime is 20310113701. The reversal of 20310113700 is 731101302.

It can be written as a sum of positive squares in 6 ways, for example, as 443556 + 20309670144 = 666^2 + 142512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20310113701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3183714 + ... + 3190086.

Almost surely, 220310113700 is an apocalyptic number.

20310113700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20310113700 is an abundant number, since it is smaller than the sum of its proper divisors (43378779568).

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

20310113700 is a wasteful number, since it uses less digits than its factorization.

20310113700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The spelling of 20310113700 in words is "twenty billion, three hundred ten million, one hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3541 6373 7082 10623 12746 14164 17705 19119 21246 25492 31865 31869 35410 38238 42492 53115 57357 63730 63738 70820 76476 88525 95595 106230 114714 127460 127476 159325 159345 177050 191190 212460 229428 265575 286785 318650 318690 354100 382380 477975 531150 573570 637300 637380 796725 955950 1062300 1147140 1433925 1593450 1911900 2867850 3186900 5735700 22566793 45133586 67700379 90267172 112833965 135400758 203101137 225667930 270801516 338501895 406202274 451335860 564169825 677003790 812404548 1015505685 1128339650 1354007580 1692509475 2031011370 2256679300 3385018950 4062022740 5077528425 6770037900 10155056850 20310113700