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102412512 = 253439511
BaseRepresentation
bin1100001101010…
…11000011100000
321010201002120000
412012223003200
5202204200022
614055020000
72352330516
oct606530340
9233632500
10102412512
115289a044
122a36a600
13182a9927
14d85c4b6
158ece6ac
hex61ab0e0

102412512 has 60 divisors (see below), whose sum is σ = 301199976. Its totient is φ = 34136640.

The previous prime is 102412507. The next prime is 102412517. The reversal of 102412512 is 215214201.

It is an interprime number because it is at equal distance from previous prime (102412507) and next prime (102412517).

It is a super-2 number, since 2×1024125122 = 20976645228300288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102412517) 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 9 ways as a sum of consecutive naturals, for example, 17164 + ... + 22347.

Almost surely, 2102412512 is an apocalyptic number.

102412512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102412512 is an abundant number, since it is smaller than the sum of its proper divisors (198787464).

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

102412512 is an equidigital number, since it uses as much as digits as its factorization.

102412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39533 (or 39516 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102412512 is about 10119.9067189377. The cubic root of 102412512 is about 467.8618921870.

Adding to 102412512 its reverse (215214201), we get a palindrome (317626713).

The spelling of 102412512 in words is "one hundred two million, four hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 39511 79022 118533 158044 237066 316088 355599 474132 632176 711198 948264 1066797 1264352 1422396 1896528 2133594 2844792 3200391 3793056 4267188 5689584 6400782 8534376 11379168 12801564 17068752 25603128 34137504 51206256 102412512