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116961013 = 1326131129
BaseRepresentation
bin1101111100010…
…10111011110101
322011002020100101
412332022323311
5214420223023
615334514101
72620103131
oct676127365
9264066311
10116961013
11600265a4
1233205931
131b301900
14117683c1
15a4051ad
hex6f8aef5

116961013 has 12 divisors (see below), whose sum is σ = 126969060. Its totient is φ = 107692416.

The previous prime is 116961011. The next prime is 116961023. The reversal of 116961013 is 310169611.

It can be written as a sum of positive squares in 6 ways, for example, as 82773604 + 34187409 = 9098^2 + 5847^2 .

It is not a de Polignac number, because 116961013 - 21 = 116961011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116961011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103033 + ... + 104161.

It is an arithmetic number, because the mean of its divisors is an integer number (10580755).

Almost surely, 2116961013 is an apocalyptic number.

116961013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116961013 is a deficient number, since it is larger than the sum of its proper divisors (10008047).

116961013 is a wasteful number, since it uses less digits than its factorization.

116961013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 116961013 is about 10814.8515015233. The cubic root of 116961013 is about 489.0429925831.

The spelling of 116961013 in words is "one hundred sixteen million, nine hundred sixty-one thousand, thirteen".

Divisors: 1 13 169 613 1129 7969 14677 103597 190801 692077 8997001 116961013