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312201393 = 3723116829
BaseRepresentation
bin10010100110111…
…101000010110001
3210202110110210120
4102212331002301
51114410421033
650551320453
710510445100
oct2246750261
9722413716
10312201393
11150258589
1288680129
134c8b066a
142d66c037
151c61e1b3
hex129bd0b1

312201393 has 24 divisors (see below), whose sum is σ = 485858880. Its totient is φ = 177801120.

The previous prime is 312201377. The next prime is 312201451. The reversal of 312201393 is 393102213.

It is not a de Polignac number, because 312201393 - 24 = 312201377 is a prime.

It is a super-2 number, since 2×3122013932 = 194939419582280898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312201313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42303 + ... + 49131.

It is an arithmetic number, because the mean of its divisors is an integer number (20244120).

Almost surely, 2312201393 is an apocalyptic number.

It is an amenable number.

312201393 is a deficient number, since it is larger than the sum of its proper divisors (173657487).

312201393 is a wasteful number, since it uses less digits than its factorization.

312201393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 312201393 is about 17669.2216297153. The cubic root of 312201393 is about 678.3881901732.

The spelling of 312201393 in words is "three hundred twelve million, two hundred one thousand, three hundred ninety-three".

Divisors: 1 3 7 21 49 147 311 933 2177 6531 6829 15239 20487 45717 47803 143409 334621 1003863 2123819 6371457 14866733 44600199 104067131 312201393