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102131 = 414753
BaseRepresentation
bin11000111011110011
312012002122
4120323303
511232011
62104455
7603521
oct307363
9165078
10102131
116a807
124b12b
1337643
1429311
15203db
hex18ef3

102131 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 95680.

The previous prime is 102121. The next prime is 102139. The reversal of 102131 is 131201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102131 - 210 = 101107 is a prime.

It is a super-2 number, since 2×1021312 = 20861482322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102139) 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, 1901 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2102131 is an apocalyptic number.

102131 is a deficient number, since it is larger than the sum of its proper divisors (6733).

102131 is an equidigital number, since it uses as much as digits as its factorization.

102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 102131 is about 319.5794111015. The cubic root of 102131 is about 46.7432811796.

Adding to 102131 its reverse (131201), we get a palindrome (233332).

The spelling of 102131 in words is "one hundred two thousand, one hundred thirty-one".

Divisors: 1 41 47 53 1927 2173 2491 102131