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102014120 = 23513196181
BaseRepresentation
bin1100001010010…
…01110010101000
321002221212001202
412011021302220
5202103422440
614042303332
72346051155
oct605116250
9232855052
10102014120
115264779a
122a1b7b48
131819a4b0
14d79722c
158e51615
hex6149ca8

102014120 has 32 divisors (see below), whose sum is σ = 247189320. Its totient is φ = 37666560.

The previous prime is 102014117. The next prime is 102014123. The reversal of 102014120 is 21410201.

It is an interprime number because it is at equal distance from previous prime (102014117) and next prime (102014123).

It can be written as a sum of positive squares in 4 ways, for example, as 63648484 + 38365636 = 7978^2 + 6194^2 .

It is not an unprimeable number, because it can be changed into a prime (102014123) 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 7 ways as a sum of consecutive naturals, for example, 97571 + ... + 98610.

Almost surely, 2102014120 is an apocalyptic number.

102014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102014120 is an abundant number, since it is smaller than the sum of its proper divisors (145175200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102014120 is a wasteful number, since it uses less digits than its factorization.

102014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196205 (or 196201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 102014120 is about 10100.2039583367. The cubic root of 102014120 is about 467.2544317367.

Adding to 102014120 its reverse (21410201), we get a palindrome (123424321).

The spelling of 102014120 in words is "one hundred two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 196181 392362 784724 980905 1569448 1961810 2550353 3923620 5100706 7847240 10201412 12751765 20402824 25503530 51007060 102014120