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116616013 = 412173401
BaseRepresentation
bin1101111001101…
…10101101001101
322010102201002121
412330312231031
5214323203023
615323252541
72614135243
oct674665515
9263381077
10116616013
115a910378
123307a151
131b210877
14116b8793
15a387d5d
hex6f36b4d

116616013 has 12 divisors (see below), whose sum is σ = 120520404. Its totient is φ = 112832000.

The previous prime is 116616011. The next prime is 116616061. The reversal of 116616013 is 310616611.

It can be written as a sum of positive squares in 6 ways, for example, as 40804 + 116575209 = 202^2 + 10797^2 .

It is not a de Polignac number, because 116616013 - 21 = 116616011 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 (116616011) 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 11 ways as a sum of consecutive naturals, for example, 290613 + ... + 291013.

It is an arithmetic number, because the mean of its divisors is an integer number (10043367).

Almost surely, 2116616013 is an apocalyptic number.

It is an amenable number.

116616013 is a deficient number, since it is larger than the sum of its proper divisors (3904391).

116616013 is an equidigital number, since it uses as much as digits as its factorization.

116616013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 116616013 is about 10798.8894336409. The cubic root of 116616013 is about 488.5616755142.

The spelling of 116616013 in words is "one hundred sixteen million, six hundred sixteen thousand, thirteen".

Divisors: 1 41 173 401 1681 7093 16441 69373 290813 674081 2844293 116616013