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113413422100 = 2252111394611609
BaseRepresentation
bin110100110011111110…
…1110111110000010100
3101211201222100210012211
41221213331313300110
53324232314001400
6124033523123204
711123330116246
oct1514775676024
9354658323184
10113413422100
1144109a13710
1219b91b13504
13a9057420b4
1456bc686096
152e3bb01dba
hex1a67f77c14

113413422100 has 144 divisors (see below), whose sum is σ = 271167019200. Its totient is φ = 40830336000.

The previous prime is 113413422079. The next prime is 113413422151. The reversal of 113413422100 is 1224314311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70486096 + ... + 70487704.

It is an arithmetic number, because the mean of its divisors is an integer number (1883104300).

Almost surely, 2113413422100 is an apocalyptic number.

113413422100 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 113413422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135583509600).

113413422100 is an abundant number, since it is smaller than the sum of its proper divisors (157753597100).

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

113413422100 is a wasteful number, since it uses less digits than its factorization.

113413422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 113413422100 its reverse (1224314311), we get a palindrome (114637736411).

The spelling of 113413422100 in words is "one hundred thirteen billion, four hundred thirteen million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 461 550 556 695 922 1100 1390 1529 1609 1844 2305 2780 3058 3218 3475 4610 5071 6116 6436 6950 7645 8045 9220 10142 11525 13900 15290 16090 17699 20284 23050 25355 30580 32180 35398 38225 40225 46100 50710 64079 70796 76450 80450 88495 101420 126775 128158 152900 160900 176990 223651 253550 256316 320395 353980 442475 447302 507100 640790 704869 741749 884950 894604 1118255 1281580 1409738 1483498 1601975 1769900 2236510 2460161 2819476 2966996 3203950 3524345 3708745 4473020 4920322 5591275 6407900 7048690 7417490 8159239 9840644 11182550 12300805 14097380 14834980 16318478 17621725 18543725 22365100 24601610 32636956 35243450 37087450 40796195 49203220 61504025 70486900 74174900 81592390 103103111 123008050 163184780 203980975 206206222 246016100 407961950 412412444 515515555 815923900 1031031110 1134134221 2062062220 2268268442 2577577775 4536536884 5155155550 5670671105 10310311100 11341342210 22682684420 28353355525 56706711050 113413422100