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312313441 = 11294123879
BaseRepresentation
bin10010100111011…
…000011001100001
3210202200011111111
4102213120121201
51114423012231
650553543321
710511422546
oct2247303141
9722604444
10312313441
11150324790
1288714b41
134c91c66b
142d69abcd
151c6424b1
hex129d8661

312313441 has 16 divisors (see below), whose sum is σ = 361065600. Its totient is φ = 267433600.

The previous prime is 312313439. The next prime is 312313453. The reversal of 312313441 is 144313213.

It is a cyclic number.

It is not a de Polignac number, because 312313441 - 21 = 312313439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312313541) by changing a digit.

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, 1140 + ... + 25018.

It is an arithmetic number, because the mean of its divisors is an integer number (22566600).

Almost surely, 2312313441 is an apocalyptic number.

It is an amenable number.

312313441 is a deficient number, since it is larger than the sum of its proper divisors (48752159).

312313441 is a wasteful number, since it uses less digits than its factorization.

312313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23960.

The product of its digits is 864, while the sum is 22.

The square root of 312313441 is about 17672.3920565384. The cubic root of 312313441 is about 678.4693375244.

Adding to 312313441 its reverse (144313213), we get a palindrome (456626654).

The spelling of 312313441 in words is "three hundred twelve million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 29 41 319 451 1189 13079 23879 262669 692491 979039 7617401 10769429 28392131 312313441