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102113631 = 321072991
BaseRepresentation
bin1100001011000…
…10000101011111
321010010220120100
412011202011133
5202120114011
614044352143
72346644244
oct605420537
9233126510
10102113631
1152705534
122a245653
1318203889
14d7c15cb
158e70d56
hex616215f

102113631 has 18 divisors (see below), whose sum is σ = 149039072. Its totient is φ = 67371480.

The previous prime is 102113621. The next prime is 102113633. The reversal of 102113631 is 136311201.

102113631 is a `hidden beast` number, since 1 + 0 + 21 + 13 + 631 = 666.

It is not a de Polignac number, because 102113631 - 29 = 102113119 is a prime.

It is a super-2 number, since 2×1021136312 = 20854387272008322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102546 + ... + 103536.

Almost surely, 2102113631 is an apocalyptic number.

102113631 is a deficient number, since it is larger than the sum of its proper divisors (46925441).

102113631 is an equidigital number, since it uses as much as digits as its factorization.

102113631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102113631 is about 10105.1289452436. The cubic root of 102113631 is about 467.4063121668.

Adding to 102113631 its reverse (136311201), we get a palindrome (238424832).

The spelling of 102113631 in words is "one hundred two million, one hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 3 9 107 321 963 991 2973 8919 11449 34347 103041 106037 318111 954333 11345959 34037877 102113631