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23131013312200 = 2352199641906679
BaseRepresentation
bin1010100001001100110111…
…10101001110111011001000
310000220022012002101121202011
411100212123311032323020
511012434303401442300
6121110124003345304
74605106034040223
oct520463365167310
9100808162347664
1023131013312200
117408897a99342
122716b41682234
13cba325906981
1459d7930345ba
152a1a5639deba
hex15099bd4eec8

23131013312200 has 96 divisors (see below), whose sum is σ = 54134236080000. Its totient is φ = 9191538892800.

The previous prime is 23131013312171. The next prime is 23131013312221. The reversal of 23131013312200 is 221331013132.

It is a super-2 number, since 2×231310133122002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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, 25058461 + ... + 25965139.

It is an arithmetic number, because the mean of its divisors is an integer number (563898292500).

Almost surely, 223131013312200 is an apocalyptic number.

23131013312200 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 23131013312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067118040000).

23131013312200 is an abundant number, since it is smaller than the sum of its proper divisors (31003222767800).

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

23131013312200 is a wasteful number, since it uses less digits than its factorization.

23131013312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907535 (or 907526 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 23131013312200 its reverse (221331013132), we get a palindrome (23352344325332).

The spelling of 23131013312200 in words is "twenty-three trillion, one hundred thirty-one billion, thirteen million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 641 796 995 1282 1592 1990 2564 3205 3980 4975 5128 6410 7960 9950 12820 16025 19900 25640 32050 39800 64100 127559 128200 255118 510236 637795 906679 1020472 1275590 1813358 2551180 3188975 3626716 4533395 5102360 6377950 7253432 9066790 12755900 18133580 22666975 25511800 36267160 45333950 90667900 180429121 181335800 360858242 581181239 721716484 902145605 1162362478 1443432968 1804291210 2324724956 2905906195 3608582420 4510728025 4649449912 5811812390 7217164840 9021456050 11623624780 14529530975 18042912100 23247249560 29059061950 36085824200 58118123900 115655066561 116236247800 231310133122 462620266244 578275332805 925240532488 1156550665610 2313101331220 2891376664025 4626202662440 5782753328050 11565506656100 23131013312200