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113031113120 = 2558327730727
BaseRepresentation
bin110100101000100101…
…1011110100110100000
3101210202022222110212222
41221101023132212200
53322441431104440
6123531545010212
711111005415642
oct1512113364640
9353668873788
10113031113120
1143a33131282
1219aa5a83968
13a874485c73
1456839a8892
152e182852b5
hex1a512de9a0

113031113120 has 96 divisors (see below), whose sum is σ = 271237776768. Its totient is φ = 44505013248.

The previous prime is 113031113099. The next prime is 113031113131. The reversal of 113031113120 is 21311130311.

It is a super-2 number, since 2×1130311131202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663197 + ... + 3693923.

It is an arithmetic number, because the mean of its divisors is an integer number (2825393508).

Almost surely, 2113031113120 is an apocalyptic number.

113031113120 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 113031113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135618888384).

113031113120 is an abundant number, since it is smaller than the sum of its proper divisors (158206663648).

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

113031113120 is a wasteful number, since it uses less digits than its factorization.

113031113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31102 (or 31094 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 113031113120 its reverse (21311130311), we get a palindrome (134342243431).

The spelling of 113031113120 in words is "one hundred thirteen billion, thirty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 277 332 415 554 664 830 1108 1328 1385 1660 2216 2656 2770 3320 4432 5540 6640 8864 11080 13280 22160 22991 30727 44320 45982 61454 91964 114955 122908 153635 183928 229910 245816 307270 367856 459820 491632 614540 735712 919640 983264 1229080 1839280 2458160 2550341 3678560 4916320 5100682 8511379 10201364 12751705 17022758 20402728 25503410 34045516 40805456 42556895 51006820 68091032 81610912 85113790 102013640 136182064 170227580 204027280 272364128 340455160 408054560 680910320 706444457 1361820640 1412888914 2825777828 3532222285 5651555656 7064444570 11303111312 14128889140 22606222624 28257778280 56515556560 113031113120