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23131302113200 = 24521011443739659
BaseRepresentation
bin1010100001001101011010…
…00010111010111110110000
310000220022221012211020020111
411100212231002322332300
511012440401320110300
6121110212401351104
74605116141564521
oct520465502727660
9100808835736214
1023131302113200
117408a26013856
122717002338494
13cba3706b3238
1459d7bd530848
152a1a718e99ba
hex1509ad0bafb0

23131302113200 has 120 divisors (see below), whose sum is σ = 56128483283760. Its totient is φ = 9160046208000.

The previous prime is 23131302113197. The next prime is 23131302113261. The reversal of 23131302113200 is 231120313132.

It is a super-2 number, since 2×231313021132002 (a number of 28 digits) contains 22 as substring.

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, 583234971 + ... + 583274629.

It is an arithmetic number, because the mean of its divisors is an integer number (467737360698).

Almost surely, 223131302113200 is an apocalyptic number.

23131302113200 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 23131302113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28064241641880).

23131302113200 is an abundant number, since it is smaller than the sum of its proper divisors (32997181170560).

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

23131302113200 is a wasteful number, since it uses less digits than its factorization.

23131302113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54215 (or 54204 counting only the distinct ones).

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

Adding to 23131302113200 its reverse (231120313132), we get a palindrome (23362422426332).

The spelling of 23131302113200 in words is "twenty-three trillion, one hundred thirty-one billion, three hundred two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 14437 20200 28874 39659 40400 57748 72185 79318 115496 144370 158636 198295 230992 288740 317272 360925 396590 577480 634544 721850 793180 991475 1154960 1443700 1458137 1586360 1982950 2887400 2916274 3172720 3965900 4005559 5774800 5832548 7290685 7931800 8011118 11665096 14581370 15863600 16022236 20027795 23330192 29162740 32044472 36453425 40055590 58325480 64088944 72906850 80111180 100138975 116650960 145813700 160222360 200277950 291627400 320444720 400555900 572556983 583254800 801111800 1145113966 1602223600 2290227932 2862784915 4580455864 5725569830 9160911728 11451139660 14313924575 22902279320 28627849150 45804558640 57255698300 57828255283 114511396600 115656510566 229022793200 231313021132 289141276415 462626042264 578282552830 925252084528 1156565105660 1445706382075 2313130211320 2891412764150 4626260422640 5782825528300 11565651056600 23131302113200