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20313120305124 = 22327320101384533
BaseRepresentation
bin1001001111001100001000…
…10100011110111111100100
32122220220201021120002110200
410213212010110132333210
510130302232244230444
6111111415120550500
74164401025503553
oct447460424367744
978826637502420
1020313120305124
116521822939809
12234099aa82430
13b446993b70aa
14503235ac3d9a
152535ce30c969
hex12798451efe4

20313120305124 has 72 divisors (see below), whose sum is σ = 52053163219512. Its totient is φ = 6677936524800.

The previous prime is 20313120305113. The next prime is 20313120305129. The reversal of 20313120305124 is 42150302131302.

20313120305124 is a `hidden beast` number, since 2 + 0 + 31 + 312 + 0 + 305 + 12 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7159209948900 + 13153910356224 = 2675670^2 + 3626832^2 .

It is not an unprimeable number, because it can be changed into a prime (20313120305129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52633162 + ... + 53017694.

It is an arithmetic number, because the mean of its divisors is an integer number (722960600271).

Almost surely, 220313120305124 is an apocalyptic number.

It is an amenable number.

20313120305124 is an abundant number, since it is smaller than the sum of its proper divisors (31740042914388).

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

20313120305124 is a wasteful number, since it uses less digits than its factorization.

20313120305124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404717 (or 404712 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20313120305124 its reverse (42150302131302), we get a palindrome (62463422436426).

The spelling of 20313120305124 in words is "twenty trillion, three hundred thirteen billion, one hundred twenty million, three hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 20101 40202 60303 80404 120606 180909 241212 361818 384533 723636 769066 1153599 1467373 1538132 2307198 2934746 3460797 4402119 4614396 5869492 6921594 8804238 13206357 13843188 17608476 26412714 28070909 52825428 56141818 84212727 112283636 168425454 252638181 336850908 505276362 1010552724 7729497833 15458995666 23188493499 30917991332 46376986998 69565480497 92753973996 139130960994 278261921988 564253341809 1128506683618 1692760025427 2257013367236 3385520050854 5078280076281 6771040101708 10156560152562 20313120305124