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113003312111130 = 23574197159179393
BaseRepresentation
bin11001101100011010100010…
…010001101101111000011010
3112211010000022010010201212210
4121230122202101231320122
5104302421240400024010
61040201001021215550
732542135263330420
oct3154324221557032
9484100263121783
10113003312111130
1133008487772aa1
12108109707015b6
134b0922206411c
141dc9564a87110
15d0e71eaecb20
hex66c6a246de1a

113003312111130 has 128 divisors (see below), whose sum is σ = 310736814796800. Its totient is φ = 25763940347904.

The previous prime is 113003312111083. The next prime is 113003312111197. The reversal of 113003312111130 is 31111213300311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113003312111097 and 113003312111106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 629830714 + ... + 630010106.

It is an arithmetic number, because the mean of its divisors is an integer number (2427631365600).

Almost surely, 2113003312111130 is an apocalyptic number.

113003312111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113003312111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155368407398400).

113003312111130 is an abundant number, since it is smaller than the sum of its proper divisors (197733502685670).

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

113003312111130 is a wasteful number, since it uses less digits than its factorization.

113003312111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186988.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 113003312111130 its reverse (31111213300311), we get a palindrome (144114525411441).

The spelling of 113003312111130 in words is "one hundred thirteen trillion, three billion, three hundred twelve million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 419 838 1257 2095 2514 2933 4190 5866 6285 7159 8799 12570 14318 14665 17598 21477 29330 35795 42954 43995 50113 71590 87990 100226 107385 150339 179393 214770 250565 300678 358786 501130 538179 751695 896965 1076358 1255751 1503390 1793930 2511502 2690895 2999621 3767253 5381790 5999242 6278755 7534506 8998863 12557510 14998105 17997726 18836265 20997347 29996210 37672530 41994694 44994315 62992041 75165667 89988630 104986735 125984082 150331334 209973470 225497001 314960205 375828335 450994002 526159669 629920410 751656670 1052319338 1127485005 1284274487 1578479007 2254970010 2568548974 2630798345 3156958014 3852823461 5261596690 6421372435 7705646922 7892395035 8989921409 12842744870 15784790070 17979842818 19264117305 26969764227 38528234610 44949607045 53939528454 89899214090 134848821135 269697642270 538111010053 1076222020106 1614333030159 2690555050265 3228666060318 3766777070371 5381110100530 7533554140742 8071665150795 11300331211113 16143330301590 18833885351855 22600662422226 37667770703710 56501656055565 113003312111130