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113200415524 = 227178317916007
BaseRepresentation
bin110100101101101000…
…1010100001100100100
3101211012010112221010101
41221123101110030210
53323313301244044
6124000433433444
711115132440650
oct1513321241444
9354163487111
10113200415524
114400a757719
1219b3270b884
13a8a05828c1
14569c279a60
152e28078cd4
hex1a5b454324

113200415524 has 96 divisors (see below), whose sum is σ = 243977287680. Its totient is φ = 44855726592.

The previous prime is 113200415519. The next prime is 113200415561. The reversal of 113200415524 is 425514002311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 113200415492 and 113200415501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063929 + ... + 7079935.

It is an arithmetic number, because the mean of its divisors is an integer number (2541430080).

Almost surely, 2113200415524 is an apocalyptic number.

113200415524 is a gapful number since it is divisible by the number (14) 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 113200415524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121988643840).

113200415524 is an abundant number, since it is smaller than the sum of its proper divisors (130776872156).

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

113200415524 is a wasteful number, since it uses less digits than its factorization.

113200415524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16297 (or 16295 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 113200415524 its reverse (425514002311), we get a palindrome (538714417835).

The spelling of 113200415524 in words is "one hundred thirteen billion, two hundred million, four hundred fifteen thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 83 119 166 179 238 332 358 476 581 716 1162 1253 1411 2324 2506 2822 3043 5012 5644 6086 9877 12172 14857 16007 19754 21301 29714 32014 39508 42602 59428 64028 85204 103999 112049 207998 224098 252569 272119 415996 448196 505138 544238 1010276 1088476 1328581 1767983 1904833 2657162 2865253 3535966 3809666 5314324 5730506 7071932 7619332 9300067 11461012 18600134 20056771 22585877 37200268 40113542 45171754 48709301 80227084 90343508 97418602 158101139 194837204 237815999 316202278 340965107 475631998 632404556 681930214 951263996 1363860428 1664711993 3329423986 4042871983 6658847972 8085743966 16171487932 28300103881 56600207762 113200415524