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102113232 = 24313163643
BaseRepresentation
bin1100001011000…
…01111111010000
321010010220000120
412011201333100
5202120110412
614044350240
72346643134
oct605417720
9233126016
10102113232
1152705201
122a245380
1318203640
14d7c13c4
158e70b8c
hex6161fd0

102113232 has 40 divisors (see below), whose sum is σ = 284085984. Its totient is φ = 31419264.

The previous prime is 102113213. The next prime is 102113251. The reversal of 102113232 is 232311201.

It is an interprime number because it is at equal distance from previous prime (102113213) and next prime (102113251).

It is a super-2 number, since 2×1021132322 = 20854224298971648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81198 + ... + 82445.

Almost surely, 2102113232 is an apocalyptic number.

102113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102113232 is an abundant number, since it is smaller than the sum of its proper divisors (181972752).

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

102113232 is a wasteful number, since it uses less digits than its factorization.

102113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163667 (or 163661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102113232 is about 10105.1092027746. The cubic root of 102113232 is about 467.4057033830.

Adding to 102113232 its reverse (232311201), we get a palindrome (334424433).

The spelling of 102113232 in words is "one hundred two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 163643 327286 490929 654572 981858 1309144 1963716 2127359 2618288 3927432 4254718 6382077 7854864 8509436 12764154 17018872 25528308 34037744 51056616 102113232