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113142016 = 281333997
BaseRepresentation
bin1101011111001…
…10100100000000
321212220012200001
412233212210000
5212431021031
615121005344
72542456051
oct657464400
9255805601
10113142016
11589582a9
1231a83854
131a595550
1411052728
159ded861
hex6be6900

113142016 has 36 divisors (see below), whose sum is σ = 243221692. Its totient is φ = 52217856.

The previous prime is 113142011. The next prime is 113142053. The reversal of 113142016 is 610241311.

It can be written as a sum of positive squares in 2 ways, for example, as 40960000 + 72182016 = 6400^2 + 8496^2 .

It is a super-2 number, since 2×1131420162 = 25602231569088512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113141984 and 113142002.

It is not an unprimeable number, because it can be changed into a prime (113142011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13671 + ... + 20326.

Almost surely, 2113142016 is an apocalyptic number.

113142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113142016 is an abundant number, since it is smaller than the sum of its proper divisors (130079676).

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

113142016 is an equidigital number, since it uses as much as digits as its factorization.

113142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34026 (or 34012 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 113142016 is about 10636.8235860148. The cubic root of 113142016 is about 483.6612615129.

Adding to 113142016 its reverse (610241311), we get a palindrome (723383327).

It can be divided in two parts, 113 and 142016, that added together give a square (142129 = 3772).

The spelling of 113142016 in words is "one hundred thirteen million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 33997 67994 135988 271976 441961 543952 883922 1087904 1767844 2175808 3535688 4351616 7071376 8703232 14142752 28285504 56571008 113142016