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101634313 = 1121749409
BaseRepresentation
bin1100000111011…
…01000100001001
321002020120001211
412003231010021
5202004244223
614030213121
72342606644
oct603550411
9232216054
10101634313
1152408400
122a0541a1
1318096661
14d6d8a5b
158dc8d0d
hex60ed109

101634313 has 12 divisors (see below), whose sum is σ = 118287540. Its totient is φ = 86958080.

The previous prime is 101634311. The next prime is 101634317. The reversal of 101634313 is 313436101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59799289 + 41835024 = 7733^2 + 6468^2 .

It is not a de Polignac number, because 101634313 - 21 = 101634311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101634311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22648 + ... + 26761.

It is an arithmetic number, because the mean of its divisors is an integer number (9857295).

Almost surely, 2101634313 is an apocalyptic number.

It is an amenable number.

101634313 is a deficient number, since it is larger than the sum of its proper divisors (16653227).

101634313 is a wasteful number, since it uses less digits than its factorization.

101634313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49448 (or 49437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 101634313 is about 10081.3844783343. The cubic root of 101634313 is about 466.6738349806.

The spelling of 101634313 in words is "one hundred one million, six hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 11 17 121 187 2057 49409 543499 839953 5978489 9239483 101634313