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20316002100 = 22352593114199
BaseRepresentation
bin10010111010111011…
…011001011100110100
31221102212010211122020
4102322323121130310
5313101344031400
613155534233140
71316310111552
oct227273313464
957385124566
1020316002100
118685943089
123b2b9557b0
131bb9cb9224
14daa262bd2
157dd88b2a0
hex4baed9734

20316002100 has 72 divisors (see below), whose sum is σ = 58880606400. Its totient is φ = 5408417280.

The previous prime is 20316002089. The next prime is 20316002123. The reversal of 20316002100 is 120061302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20316002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120801 + ... + 234999.

It is an arithmetic number, because the mean of its divisors is an integer number (817786200).

Almost surely, 220316002100 is an apocalyptic number.

20316002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20316002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440303200).

20316002100 is an abundant number, since it is smaller than the sum of its proper divisors (38564604300).

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

20316002100 is a wasteful number, since it uses less digits than its factorization.

20316002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114809 (or 114802 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20316002100 its reverse (120061302), we get a palindrome (20436063402).

The spelling of 20316002100 in words is "twenty billion, three hundred sixteen million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 1186 1779 2372 2965 3558 5930 7116 8895 11860 14825 17790 29650 35580 44475 59300 88950 114199 177900 228398 342597 456796 570995 685194 1141990 1370388 1712985 2283980 2854975 3425970 5709950 6851940 8564925 11419900 17129850 34259700 67720007 135440014 203160021 270880028 338600035 406320042 677200070 812640084 1015800105 1354400140 1693000175 2031600210 3386000350 4063200420 5079000525 6772000700 10158001050 20316002100