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102255013 = 723756401
BaseRepresentation
bin1100001100001…
…00100110100101
321010102002111201
412012010212211
5202134130023
614051402501
72351103400
oct606044645
9233362451
10102255013
11527a1783
122a2b3431
1318253033
14d81ad37
158e9cbad
hex61849a5

102255013 has 12 divisors (see below), whose sum is σ = 122166732. Its totient is φ = 85276800.

The previous prime is 102255011. The next prime is 102255061. The reversal of 102255013 is 310552201.

It can be written as a sum of positive squares in 2 ways, for example, as 79530724 + 22724289 = 8918^2 + 4767^2 .

It is not a de Polignac number, because 102255013 - 21 = 102255011 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 (102255011) 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, 26388 + ... + 30013.

It is an arithmetic number, because the mean of its divisors is an integer number (10180561).

Almost surely, 2102255013 is an apocalyptic number.

It is an amenable number.

102255013 is a deficient number, since it is larger than the sum of its proper divisors (19911719).

102255013 is an equidigital number, since it uses as much as digits as its factorization.

102255013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56452 (or 56445 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 102255013 is about 10112.1220819371. The cubic root of 102255013 is about 467.6219293623.

The spelling of 102255013 in words is "one hundred two million, two hundred fifty-five thousand, thirteen".

Divisors: 1 7 37 49 259 1813 56401 394807 2086837 2763649 14607859 102255013