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312210431 = 13212131523
BaseRepresentation
bin10010100110111…
…111001111111111
3210202110221012022
4102212333033333
51114411213211
650551430355
710510513331
oct2246771777
9722427168
10312210431
11150264355
12886853bb
134c8b4800
142d671451
151c621bdb
hex129bf3ff

312210431 has 12 divisors (see below), whose sum is σ = 338574888. Its totient is φ = 287767584.

The previous prime is 312210427. The next prime is 312210443. The reversal of 312210431 is 134012213.

It is not a de Polignac number, because 312210431 - 22 = 312210427 is a prime.

It is a super-2 number, since 2×3122104312 = 194950706450411522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210931) 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, 204236 + ... + 205758.

It is an arithmetic number, because the mean of its divisors is an integer number (28214574).

Almost surely, 2312210431 is an apocalyptic number.

312210431 is a deficient number, since it is larger than the sum of its proper divisors (26364457).

312210431 is a wasteful number, since it uses less digits than its factorization.

312210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 312210431 is about 17669.4773833297. The cubic root of 312210431 is about 678.3947363893.

Adding to 312210431 its reverse (134012213), we get a palindrome (446222644).

The spelling of 312210431 in words is "three hundred twelve million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 13 169 1213 1523 15769 19799 204997 257387 1847399 24016187 312210431