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102120312 = 2337286837
BaseRepresentation
bin1100001011000…
…11101101111000
321010011020201210
412011203231320
5202120322222
614044443120
72350002600
oct605435570
9233136653
10102120312
115270a558
122a2494a0
1318206928
14d7c3c00
158e72d0c
hex6163b78

102120312 has 48 divisors (see below), whose sum is σ = 296985960. Its totient is φ = 29176896.

The previous prime is 102120311. The next prime is 102120323. The reversal of 102120312 is 213021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42243 + ... + 44594.

Almost surely, 2102120312 is an apocalyptic number.

102120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120312 is an abundant number, since it is smaller than the sum of its proper divisors (194865648).

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

102120312 is a wasteful number, since it uses less digits than its factorization.

102120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86860 (or 86849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102120312 is about 10105.4595145397. The cubic root of 102120312 is about 467.4165056262.

Adding to 102120312 its reverse (213021201), we get a palindrome (315141513).

The spelling of 102120312 in words is "one hundred two million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 86837 173674 260511 347348 521022 607859 694696 1042044 1215718 1823577 2084088 2431436 3647154 4255013 4862872 7294308 8510026 12765039 14588616 17020052 25530078 34040104 51060156 102120312