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102584231 is a prime number
BaseRepresentation
bin1100001110101…
…00111110100111
321011000211002222
412013110332213
5202230143411
614102422555
72353644251
oct607247647
9234024088
10102584231
11529a7062
122a431a5b
1318339b39
14d8a4cd1
1590154db
hex61d4fa7

102584231 has 2 divisors, whose sum is σ = 102584232. Its totient is φ = 102584230.

The previous prime is 102584179. The next prime is 102584233. The reversal of 102584231 is 132485201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102584231 - 222 = 98389927 is a prime.

It is a super-2 number, since 2×1025842312 = 21047048899722722, which contains 22 as substring.

Together with 102584233, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102584231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102584233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51292115 + 51292116.

It is an arithmetic number, because the mean of its divisors is an integer number (51292116).

Almost surely, 2102584231 is an apocalyptic number.

102584231 is a deficient number, since it is larger than the sum of its proper divisors (1).

102584231 is an equidigital number, since it uses as much as digits as its factorization.

102584231 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 102584231 is about 10128.3873839817. The cubic root of 102584231 is about 468.1232401837.

The spelling of 102584231 in words is "one hundred two million, five hundred eighty-four thousand, two hundred thirty-one".