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113112230100 = 223523717956929
BaseRepresentation
bin110100101011000000…
…0111010100011010100
3101210221222121122110120
41221112000322203110
53323123212330400
6123544003351540
711113012043412
oct1512600724324
9353858548416
10113112230100
1143a749a5701
1219b090825b0
13a88821788c
1456906822b2
152e20459ca0
hex1a5603a8d4

113112230100 has 144 divisors (see below), whose sum is σ = 338000241600. Its totient is φ = 29183569920.

The previous prime is 113112230093. The next prime is 113112230117. The reversal of 113112230100 is 1032211311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113112230100.

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, 1958436 + ... + 2015364.

It is an arithmetic number, because the mean of its divisors is an integer number (2347223900).

Almost surely, 2113112230100 is an apocalyptic number.

113112230100 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 113112230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169000120800).

113112230100 is an abundant number, since it is smaller than the sum of its proper divisors (224888011500).

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

113112230100 is a wasteful number, since it uses less digits than its factorization.

113112230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57162 (or 57155 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113112230100 its reverse (1032211311), we get a palindrome (114144441411).

The spelling of 113112230100 in words is "one hundred thirteen billion, one hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 179 185 222 300 358 370 444 537 555 716 740 895 925 1074 1110 1790 1850 2148 2220 2685 2775 3580 3700 4475 5370 5550 6623 8950 10740 11100 13246 13425 17900 19869 26492 26850 33115 39738 53700 56929 66230 79476 99345 113858 132460 165575 170787 198690 227716 284645 331150 341574 397380 496725 569290 662300 683148 853935 993450 1138580 1423225 1707870 1986900 2106373 2846450 3415740 4212746 4269675 5692900 6319119 8425492 8539350 10190291 10531865 12638238 17078700 20380582 21063730 25276476 30570873 31595595 40761164 42127460 50951455 52659325 61141746 63191190 101902910 105318650 122283492 126382380 152854365 157977975 203805820 210637300 254757275 305708730 315955950 377040767 509514550 611417460 631911900 754081534 764271825 1019029100 1131122301 1508163068 1528543650 1885203835 2262244602 3057087300 3770407670 4524489204 5655611505 7540815340 9426019175 11311223010 18852038350 22622446020 28278057525 37704076700 56556115050 113112230100