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312220013 = 7247135571
BaseRepresentation
bin10010100111000…
…001100101101101
3210202111102100012
4102213001211231
51114412020023
650551543005
710510553300
oct2247014555
9722442305
10312220013
11150270576
128868aa65
134c8b8c91
142d674b37
151c624978
hex129c196d

312220013 has 12 divisors (see below), whose sum is σ = 370924992. Its totient is φ = 261921240.

The previous prime is 312220001. The next prime is 312220019. The reversal of 312220013 is 310022213.

It is a happy number.

It is not a de Polignac number, because 312220013 - 210 = 312218989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220019) 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, 65483 + ... + 70088.

It is an arithmetic number, because the mean of its divisors is an integer number (30910416).

Almost surely, 2312220013 is an apocalyptic number.

It is an amenable number.

312220013 is a deficient number, since it is larger than the sum of its proper divisors (58704979).

312220013 is a wasteful number, since it uses less digits than its factorization.

312220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135632 (or 135625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312220013 is about 17669.7485267901. The cubic root of 312220013 is about 678.4016764861.

Adding to 312220013 its reverse (310022213), we get a palindrome (622242226).

It can be divided in two parts, 3122200 and 13, that added together give a palindrome (3122213).

The spelling of 312220013 in words is "three hundred twelve million, two hundred twenty thousand, thirteen".

Divisors: 1 7 47 49 329 2303 135571 948997 6371837 6642979 44602859 312220013