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313301220 = 22358815927
BaseRepresentation
bin10010101011001…
…001100011100100
3210211112100110220
4102223021203210
51120201114340
651031044340
710523005431
oct2253114344
9724470426
10313301220
11150939931
1288b106b0
134cba714b
142d876b88
151c789ed0
hex12ac98e4

313301220 has 48 divisors (see below), whose sum is σ = 878387328. Its totient is φ = 83438080.

The previous prime is 313301167. The next prime is 313301249. The reversal of 313301220 is 22103313.

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 313301220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49897 + ... + 55823.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2313301220 is an apocalyptic number.

313301220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313301220 is an abundant number, since it is smaller than the sum of its proper divisors (565086108).

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

313301220 is a wasteful number, since it uses less digits than its factorization.

313301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6818 counting only the distinct ones).

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

The square root of 313301220 is about 17700.3169463148. The cubic root of 313301220 is about 679.1838680493.

Adding to 313301220 its reverse (22103313), we get a palindrome (335404533).

The spelling of 313301220 in words is "three hundred thirteen million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 881 1762 2643 3524 4405 5286 5927 8810 10572 11854 13215 17620 17781 23708 26430 29635 35562 52860 59270 71124 88905 118540 177810 355620 5221687 10443374 15665061 20886748 26108435 31330122 52216870 62660244 78325305 104433740 156650610 313301220