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102313320 = 23355316087
BaseRepresentation
bin1100001100100…
…10110101101000
321010112001111020
412012102311220
5202143011240
614052532440
72351435364
oct606226550
9233461436
10102313320
115283156a
122a321120
1318273735
14d8342a4
158eb00d0
hex6192d68

102313320 has 64 divisors (see below), whose sum is σ = 312750720. Its totient is φ = 26767104.

The previous prime is 102313283. The next prime is 102313331. The reversal of 102313320 is 23313201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102313320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684 + ... + 14403.

It is an arithmetic number, because the mean of its divisors is an integer number (4886730).

Almost surely, 2102313320 is an apocalyptic number.

102313320 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 102313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156375360).

102313320 is an abundant number, since it is smaller than the sum of its proper divisors (210437400).

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

102313320 is a wasteful number, since it uses less digits than its factorization.

102313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 102313320 is about 10115.0046959950. The cubic root of 102313320 is about 467.7107936317.

Adding to 102313320 its reverse (23313201), we get a palindrome (125626521).

The spelling of 102313320 in words is "one hundred two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 16087 32174 48261 64348 80435 96522 128696 160870 193044 241305 321740 386088 482610 643480 852611 965220 1705222 1930440 2557833 3410444 4263055 5115666 6820888 8526110 10231332 12789165 17052220 20462664 25578330 34104440 51156660 102313320