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102313160 = 23529193457
BaseRepresentation
bin1100001100100…
…10110011001000
321010112001021022
412012102303020
5202143010120
614052532012
72351435045
oct606226310
9233461238
10102313160
1152831434
122a321008
1318273641
14d8341cc
158eb0025
hex6192cc8

102313160 has 64 divisors (see below), whose sum is σ = 239900400. Its totient is φ = 39223296.

The previous prime is 102313151. The next prime is 102313199. The reversal of 102313160 is 61313201.

It can be written as a sum of positive squares in 8 ways, for example, as 52215076 + 50098084 = 7226^2 + 7078^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223652 + ... + 224108.

Almost surely, 2102313160 is an apocalyptic number.

102313160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119950200).

102313160 is an abundant number, since it is smaller than the sum of its proper divisors (137587240).

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

102313160 is a wasteful number, since it uses less digits than its factorization.

102313160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 102313160 is about 10114.9967869496. The cubic root of 102313160 is about 467.7105498258.

Adding to 102313160 its reverse (61313201), we get a palindrome (163626361).

The spelling of 102313160 in words is "one hundred two million, three hundred thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 193 232 290 386 457 580 772 914 965 1160 1544 1828 1930 2285 3656 3860 4570 5597 7720 9140 11194 13253 18280 22388 26506 27985 44776 53012 55970 66265 88201 106024 111940 132530 176402 223880 265060 352804 441005 530120 705608 882010 1764020 2557829 3528040 5115658 10231316 12789145 20462632 25578290 51156580 102313160