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112118656 = 271327173
BaseRepresentation
bin1101010111011…
…00101110000000
321210222012212211
412223230232000
5212200244111
615043031504
72530664356
oct653545600
9253865784
10112118656
1158319451
123166b594
131a2c7800
1410c677d6
159c9a521
hex6aecb80

112118656 has 96 divisors (see below), whose sum is σ = 248631120. Its totient is φ = 50319360.

The previous prime is 112118653. The next prime is 112118663. The reversal of 112118656 is 656811211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112118653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1535836 + ... + 1535908.

Almost surely, 2112118656 is an apocalyptic number.

112118656 is a gapful number since it is divisible by the number (16) 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 112118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124315560).

112118656 is an abundant number, since it is smaller than the sum of its proper divisors (136512464).

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

112118656 is an equidigital number, since it uses as much as digits as its factorization.

112118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its digits is 2880, while the sum is 31.

The square root of 112118656 is about 10588.6097293271. The cubic root of 112118656 is about 482.1986176618.

Adding to 112118656 its reverse (656811211), we get a palindrome (768929867).

The spelling of 112118656 in words is "one hundred twelve million, one hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 73 104 128 142 146 169 208 284 292 338 416 568 584 676 832 923 949 1136 1168 1352 1664 1846 1898 2272 2336 2704 3692 3796 4544 4672 5183 5408 7384 7592 9088 9344 10366 10816 11999 12337 14768 15184 20732 21632 23998 24674 29536 30368 41464 47996 49348 59072 60736 67379 82928 95992 98696 118144 121472 134758 165856 191984 197392 269516 331712 383968 394784 539032 663424 767936 789568 875927 1078064 1535872 1579136 1751854 2156128 3503708 4312256 7007416 8624512 14014832 28029664 56059328 112118656