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101678013 = 32101111857
BaseRepresentation
bin1100000111101…
…11101110111101
321002022210000100
412003313232331
5202012144023
614031151313
72343151233
oct603675675
9232283010
10101678013
1152438218
122a075539
13180b0508
14d70a953
158dd6c43
hex60f7bbd

101678013 has 12 divisors (see below), whose sum is σ = 148323708. Its totient is φ = 67113600.

The previous prime is 101678011. The next prime is 101678021. The reversal of 101678013 is 310876101.

It can be written as a sum of positive squares in 2 ways, for example, as 56881764 + 44796249 = 7542^2 + 6693^2 .

It is not a de Polignac number, because 101678013 - 21 = 101678011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101678011) 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, 55020 + ... + 56837.

It is an arithmetic number, because the mean of its divisors is an integer number (12360309).

Almost surely, 2101678013 is an apocalyptic number.

It is an amenable number.

101678013 is a deficient number, since it is larger than the sum of its proper divisors (46645695).

101678013 is a wasteful number, since it uses less digits than its factorization.

101678013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111964 (or 111961 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101678013 is about 10083.5516064530. The cubic root of 101678013 is about 466.7407110968.

The spelling of 101678013 in words is "one hundred one million, six hundred seventy-eight thousand, thirteen".

Divisors: 1 3 9 101 303 909 111857 335571 1006713 11297557 33892671 101678013