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116113000 = 2353116113
BaseRepresentation
bin1101110101110…
…11111001101000
322002111011002111
412322323321220
5214211104000
615304412104
72606641603
oct672737150
9262434074
10116113000
115a5a7463
1232a77034
131b095923
14115c733a
15a2d8cba
hex6ebbe68

116113000 has 32 divisors (see below), whose sum is σ = 271706760. Its totient is φ = 46444800.

The previous prime is 116112991. The next prime is 116113001. The reversal of 116113000 is 311611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31877316 + 84235684 = 5646^2 + 9178^2 .

It is not an unprimeable number, because it can be changed into a prime (116113001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57057 + ... + 59056.

Almost surely, 2116113000 is an apocalyptic number.

116113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116113000 is an abundant number, since it is smaller than the sum of its proper divisors (155593760).

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

116113000 is a wasteful number, since it uses less digits than its factorization.

116113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116134 (or 116120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 116113000 is about 10775.5742306385. The cubic root of 116113000 is about 487.8582070355.

Adding to 116113000 its reverse (311611), we get a palindrome (116424611).

It can be divided in two parts, 1161 and 13000, that added together give a square (14161 = 1192).

The spelling of 116113000 in words is "one hundred sixteen million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 116113 232226 464452 580565 928904 1161130 2322260 2902825 4644520 5805650 11611300 14514125 23222600 29028250 58056500 116113000