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23313575228700 = 22352534613180613
BaseRepresentation
bin1010100110100000111010…
…10111101011010100011100
310001112202102010211212202010
411103100131113223110130
511023432200224304300
6121330035243031220
74624231061524521
oct523203527532434
9101482363755663
1023313575228700
117479260484289
1227463b120b510
1310015cb248a33
145a855119b148
152a668d963a50
hex15341d5eb51c

23313575228700 has 144 divisors (see below), whose sum is σ = 68875763606496. Its totient is φ = 6086419123200.

The previous prime is 23313575228659. The next prime is 23313575228701. The reversal of 23313575228700 is 782257531332.

It is a self number, because there is not a number n which added to its sum of digits gives 23313575228700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313575228701) 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 47 ways as a sum of consecutive naturals, for example, 5739594 + ... + 8920206.

It is an arithmetic number, because the mean of its divisors is an integer number (478303913934).

Almost surely, 223313575228700 is an apocalyptic number.

23313575228700 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 23313575228700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437881803248).

23313575228700 is an abundant number, since it is smaller than the sum of its proper divisors (45562188377796).

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

23313575228700 is a wasteful number, since it uses less digits than its factorization.

23313575228700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181144 (or 3181137 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 23313575228700 in words is "twenty-three trillion, three hundred thirteen billion, five hundred seventy-five million, two hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 461 530 636 795 922 1060 1325 1383 1590 1844 2305 2650 2766 3180 3975 4610 5300 5532 6915 7950 9220 11525 13830 15900 23050 24433 27660 34575 46100 48866 69150 73299 97732 122165 138300 146598 244330 293196 366495 488660 610825 732990 1221650 1465980 1832475 2443300 3180613 3664950 6361226 7329900 9541839 12722452 15903065 19083678 31806130 38167356 47709195 63612260 79515325 95418390 159030650 168572489 190836780 238545975 318061300 337144978 477091950 505717467 674289956 842862445 954183900 1011434934 1466262593 1685724890 2022869868 2528587335 2932525186 3371449780 4214312225 4398787779 5057174670 5865050372 7331312965 8428624450 8797575558 10114349340 12642936675 14662625930 16857248900 17595151116 21993938895 25285873350 29325251860 36656564825 43987877790 50571746700 73313129650 77711917429 87975755580 109969694475 146626259300 155423834858 219939388950 233135752287 310847669716 388559587145 439878777900 466271504574 777119174290 932543009148 1165678761435 1554238348580 1942797935725 2331357522870 3885595871450 4662715045740 5828393807175 7771191742900 11656787614350 23313575228700