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112811296 = 2513271181
BaseRepresentation
bin1101011100101…
…01110100100000
321212021102000011
412232111310200
5212334430141
615105534304
72536610623
oct656256440
9255242004
10112811296
1158751884
1231944394
131a4aab60
1410da7dba
159d85881
hex6b95d20

112811296 has 24 divisors (see below), whose sum is σ = 239182524. Its totient is φ = 52066560.

The previous prime is 112811267. The next prime is 112811323. The reversal of 112811296 is 692118211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 112784400 + 26896 = 10620^2 + 164^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 135175 + ... + 136006.

Almost surely, 2112811296 is an apocalyptic number.

112811296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112811296 is an abundant number, since it is smaller than the sum of its proper divisors (126371228).

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

112811296 is a wasteful number, since it uses less digits than its factorization.

112811296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271204 (or 271196 counting only the distinct ones).

The product of its digits is 1728, while the sum is 31.

The square root of 112811296 is about 10621.2662145339. The cubic root of 112811296 is about 483.1895459195.

The spelling of 112811296 in words is "one hundred twelve million, eight hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 271181 542362 1084724 2169448 3525353 4338896 7050706 8677792 14101412 28202824 56405648 112811296