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313213200 = 24352261011
BaseRepresentation
bin10010101010110…
…100000100010000
3210211100212201220
4102222310010100
51120140310300
651025125040
710522161006
oct2252640420
9724325656
10313213200
11150889793
1288a89780
134cb76071
142d852a76
151c76dda0
hex12ab4110

313213200 has 60 divisors (see below), whose sum is σ = 1003330128. Its totient is φ = 83523200.

The previous prime is 313213193. The next prime is 313213207. The reversal of 313213200 is 2312313.

It is an interprime number because it is at equal distance from previous prime (313213193) and next prime (313213207).

It is a tau number, because it is divible by the number of its divisors (60).

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 313213200.

It is not an unprimeable number, because it can be changed into a prime (313213207) 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, 129306 + ... + 131705.

Almost surely, 2313213200 is an apocalyptic number.

313213200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313213200 is an abundant number, since it is smaller than the sum of its proper divisors (690116928).

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

313213200 is a wasteful number, since it uses less digits than its factorization.

313213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261032 (or 261021 counting only the distinct ones).

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

The square root of 313213200 is about 17697.8303755008. The cubic root of 313213200 is about 679.1202579519.

Adding to 313213200 its reverse (2312313), we get a palindrome (315525513).

The spelling of 313213200 in words is "three hundred thirteen million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 261011 522022 783033 1044044 1305055 1566066 2088088 2610110 3132132 3915165 4176176 5220220 6264264 6525275 7830330 10440440 12528528 13050550 15660660 19575825 20880880 26101100 31321320 39151650 52202200 62642640 78303300 104404400 156606600 313213200