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113003232110120 = 235112512351435223
BaseRepresentation
bin11001101100011010011101…
…100000100010011000101000
3112211010000002112121021010102
4121230122131200202120220
5104302421104410010440
61040200545042404532
732542133302331342
oct3154323540423050
9484100075537112
10113003232110120
11330084465a1060
1210810949960748
134b0920b603451
141dc95581c0292
15d0e717a98b15
hex66c69d822628

113003232110120 has 128 divisors (see below), whose sum is σ = 278595726151680. Its totient is φ = 40910868000000.

The previous prime is 113003232110099. The next prime is 113003232110123. The reversal of 113003232110120 is 21011232300311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113003232110092 and 113003232110101.

It is not an unprimeable number, because it can be changed into a prime (113003232110123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259426829 + ... + 259862051.

It is an arithmetic number, because the mean of its divisors is an integer number (2176529110560).

Almost surely, 2113003232110120 is an apocalyptic number.

113003232110120 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 113003232110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139297863075840).

113003232110120 is an abundant number, since it is smaller than the sum of its proper divisors (165592494041560).

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

113003232110120 is a wasteful number, since it uses less digits than its factorization.

113003232110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437847 (or 437843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113003232110120 its reverse (21011232300311), we get a palindrome (134014464410431).

The spelling of 113003232110120 in words is "one hundred thirteen trillion, three billion, two hundred thirty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 1004 1255 2008 2351 2510 2761 4702 5020 5522 9404 10040 11044 11755 13805 18808 22088 23510 25861 27610 47020 51722 55220 94040 103444 110440 129305 206888 258610 435223 517220 590101 870446 1034440 1180202 1740892 2176115 2360404 2950505 3481784 4352230 4720808 4787453 5901010 6491111 8704460 9574906 11802020 12982222 17408920 19149812 23604040 23937265 25964444 32455555 38299624 47874530 51928888 64911110 95749060 109240973 129822220 191498120 218481946 259644440 436963892 546204865 873927784 1023209273 1092409730 1201650703 2046418546 2184819460 2403301406 4092837092 4369638920 4806602812 5116046365 6008253515 8185674184 9613205624 10232092730 11255302003 12016507030 20464185460 22510604006 24033014060 40928370920 45021208012 48066028120 56276510015 90042416024 112553020030 225106040060 256825527523 450212080120 513651055046 1027302110092 1284127637615 2054604220184 2568255275230 2825080802753 5136510550460 5650161605506 10273021100920 11300323211012 14125404013765 22600646422024 28250808027530 56501616055060 113003232110120