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113525133200 = 24525921372251
BaseRepresentation
bin110100110111010100…
…0000000111110010000
3101212000202120022000222
41221232220000332100
53324444413230300
6124052553332212
711126154465503
oct1515650007620
9355022508028
10113525133200
1144166a83936
121a003407068
13a92292623b
1456cd44513a
152e4681b785
hex1a6ea00f90

113525133200 has 120 divisors (see below), whose sum is σ = 277619984160. Its totient is φ = 44599680000.

The previous prime is 113525133181. The next prime is 113525133217. The reversal of 113525133200 is 2331525311.

It is a self number, because there is not a number n which added to its sum of digits gives 113525133200.

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, 50432075 + ... + 50434325.

It is an arithmetic number, because the mean of its divisors is an integer number (2313499868).

Almost surely, 2113525133200 is an apocalyptic number.

113525133200 is a gapful number since it is divisible by the number (10) 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 113525133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138809992080).

113525133200 is an abundant number, since it is smaller than the sum of its proper divisors (164094850960).

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

113525133200 is a wasteful number, since it uses less digits than its factorization.

113525133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 113525133200 its reverse (2331525311), we get a palindrome (115856658511).

The spelling of 113525133200 in words is "one hundred thirteen billion, five hundred twenty-five million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2137 2251 2360 2950 4274 4502 4720 5900 8548 9004 10685 11255 11800 17096 18008 21370 22510 23600 34192 36016 42740 45020 53425 56275 85480 90040 106850 112550 126083 132809 170960 180080 213700 225100 252166 265618 427400 450200 504332 531236 630415 664045 854800 900400 1008664 1062472 1260830 1328090 2017328 2124944 2521660 2656180 3152075 3320225 4810387 5043320 5312360 6304150 6640450 9620774 10086640 10624720 12608300 13280900 19241548 24051935 25216600 26561800 38483096 48103870 50433200 53123600 76966192 96207740 120259675 192415480 240519350 283812833 384830960 481038700 567625666 962077400 1135251332 1419064165 1924154800 2270502664 2838128330 4541005328 5676256660 7095320825 11352513320 14190641650 22705026640 28381283300 56762566600 113525133200