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1312132339 = 72139383503
BaseRepresentation
bin100111000110101…
…1000110011110011
310101110000020012001
41032031120303303
510141401213324
6334111314431
744341640500
oct11615306363
93343006161
101312132339
116137344a1
1230751ba17
1317bac528b
14c639c4a7
157a2d9e44
hex4e358cf3

1312132339 has 24 divisors (see below), whose sum is σ = 1544417280. Its totient is φ = 1111464144.

The previous prime is 1312132331. The next prime is 1312132351. The reversal of 1312132339 is 9332312131.

It is not a de Polignac number, because 1312132339 - 23 = 1312132331 is a prime.

It is a super-2 number, since 2×13121323392 = 3443382550099221842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608362 + ... + 2608864.

It is an arithmetic number, because the mean of its divisors is an integer number (64350720).

Almost surely, 21312132339 is an apocalyptic number.

1312132339 is a deficient number, since it is larger than the sum of its proper divisors (232284941).

1312132339 is a wasteful number, since it uses less digits than its factorization.

1312132339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 1312132339 is about 36223.3673062017. The cubic root of 1312132339 is about 1094.7775418762. Note that the first 3 decimals are identical.

The spelling of 1312132339 in words is "one billion, three hundred twelve million, one hundred thirty-two thousand, three hundred thirty-nine".

Divisors: 1 7 49 139 383 503 973 2681 3521 6811 18767 24647 53237 69917 192649 372659 489419 1348543 2608613 3425933 9439801 26778211 187447477 1312132339