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13312431 = 341167223
BaseRepresentation
bin110010110010…
…000110101111
3221001100020000
4302302012233
511401444211
61153155343
7221103516
oct62620657
927040200
1013312431
117572910
12455bb53
1329b14a2
141aa767d
15127e656
hexcb21af

13312431 has 40 divisors (see below), whose sum is σ = 22116864. Its totient is φ = 7912080.

The previous prime is 13312399. The next prime is 13312433. The reversal of 13312431 is 13421331.

It is not a de Polignac number, because 13312431 - 25 = 13312399 is a prime.

It is a super-2 number, since 2×133124312 = 354441638259522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312433) 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 39 ways as a sum of consecutive naturals, for example, 59586 + ... + 59808.

Almost surely, 213312431 is an apocalyptic number.

13312431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13312431 is a deficient number, since it is larger than the sum of its proper divisors (8804433).

13312431 is a wasteful number, since it uses less digits than its factorization.

13312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13312431 is about 3648.6204242152. The cubic root of 13312431 is about 237.0022432090.

Adding to 13312431 its reverse (13421331), we get a palindrome (26733762).

Subtracting 13312431 from its reverse (13421331), we obtain a square (108900 = 3302).

The spelling of 13312431 in words is "thirteen million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 67 81 99 201 223 297 603 669 737 891 1809 2007 2211 2453 5427 6021 6633 7359 14941 18063 19899 22077 44823 59697 66231 134469 164351 198693 403407 493053 1210221 1479159 4437477 13312431