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113352150120 = 233511193444937
BaseRepresentation
bin110100110010001010…
…0001000110001101000
3101211120201001211212020
41221210110020301220
53324121122300440
6124023453544440
711121654243606
oct1514424106150
9354521054766
10113352150120
1144088374110
1219b754a5120
13a8c5b3b1a1
1456b4496876
152e3654c3d0
hex1a64508c68

113352150120 has 128 divisors (see below), whose sum is σ = 372893639040. Its totient is φ = 27336867840.

The previous prime is 113352150083. The next prime is 113352150127. The reversal of 113352150120 is 21051253311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113352150127) 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, 32292 + ... + 477228.

It is an arithmetic number, because the mean of its divisors is an integer number (2913231555).

Almost surely, 2113352150120 is an apocalyptic number.

113352150120 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 113352150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186446819520).

113352150120 is an abundant number, since it is smaller than the sum of its proper divisors (259541488920).

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

113352150120 is a wasteful number, since it uses less digits than its factorization.

113352150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445155 (or 445151 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 113352150120 in words is "one hundred thirteen billion, three hundred fifty-two million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5790 6369 7720 8492 10615 11580 12738 16984 21230 23160 25476 31845 42460 50952 63690 84920 127380 254760 444937 889874 1334811 1779748 2224685 2669622 3559496 4449370 4894307 5339244 6674055 8898740 9788614 10678488 13348110 14682921 17797480 19577228 24471535 26696220 29365842 39154456 48943070 53392440 58731684 73414605 85872841 97886140 117463368 146829210 171745682 195772280 257618523 293658420 343491364 429364205 515237046 587316840 686982728 858728410 944601251 1030474092 1288092615 1717456820 1889202502 2060948184 2576185230 2833803753 3434913640 3778405004 4723006255 5152370460 5667607506 7556810008 9446012510 10304740920 11335215012 14169018765 18892025020 22670430024 28338037530 37784050040 56676075060 113352150120