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112618818 = 232132411997
BaseRepresentation
bin1101011011001…
…10110101000010
321211220121222100
412231212311002
5212312300233
615101451230
72535146514
oct655466502
9254817870
10112618818
1158630204
1231870b16
131a441370
1410d57bb4
159d48813
hex6b66d42

112618818 has 48 divisors (see below), whose sum is σ = 263999736. Its totient is φ = 34490880.

The previous prime is 112618817. The next prime is 112618823. The reversal of 112618818 is 818816211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58110129 + 54508689 = 7623^2 + 7383^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112618813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55396 + ... + 57392.

Almost surely, 2112618818 is an apocalyptic number.

112618818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112618818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131999868).

112618818 is an abundant number, since it is smaller than the sum of its proper divisors (151380918).

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

112618818 is a wasteful number, since it uses less digits than its factorization.

112618818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2256 counting only the distinct ones).

The product of its digits is 6144, while the sum is 36.

The square root of 112618818 is about 10612.2013738903. The cubic root of 112618818 is about 482.9145843838.

The spelling of 112618818 in words is "one hundred twelve million, six hundred eighteen thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 241 482 723 1446 1997 2169 3133 3994 4338 5991 6266 9399 11982 17973 18798 25961 28197 35946 51922 56394 77883 155766 233649 467298 481277 962554 1443831 2887662 4331493 6256601 8662986 12513202 18769803 37539606 56309409 112618818