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102017180 = 2255100859
BaseRepresentation
bin1100001010010…
…10100010011100
321002222000021002
412011022202130
5202104022210
614042325432
72346063116
oct605124234
9232860232
10102017180
115264a021
122a1b9878
131819b9c5
14d7983b6
158e524a5
hex614a89c

102017180 has 12 divisors (see below), whose sum is σ = 214236120. Its totient is φ = 40806864.

The previous prime is 102017159. The next prime is 102017219. The reversal of 102017180 is 81710201.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5100859 = 102017180 / (1 + 0 + 2 + 0 + 1 + 7 + 1 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2550410 + ... + 2550449.

It is an arithmetic number, because the mean of its divisors is an integer number (17853010).

Almost surely, 2102017180 is an apocalyptic number.

102017180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102017180 is an abundant number, since it is smaller than the sum of its proper divisors (112218940).

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

102017180 is a wasteful number, since it uses less digits than its factorization.

102017180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100868 (or 5100866 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 102017180 is about 10100.3554392902. The cubic root of 102017180 is about 467.2591035876.

Adding to 102017180 its reverse (81710201), we get a palindrome (183727381).

The spelling of 102017180 in words is "one hundred two million, seventeen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 5100859 10201718 20403436 25504295 51008590 102017180