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1312038327 = 33122396301
BaseRepresentation
bin100111000110100…
…0001110110110111
310101102211110020010
41032031001312313
510141340211302
6334105311303
744341066425
oct11615016667
93342743203
101312038327
1161367a8a6
12307495533
1317ba91552
14c6376115
157a2bc16c
hex4e341db7

1312038327 has 16 divisors (see below), whose sum is σ = 1806909440. Its totient is φ = 845964000.

The previous prime is 1312038319. The next prime is 1312038337. The reversal of 1312038327 is 7238302131.

It is not a de Polignac number, because 1312038327 - 23 = 1312038319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312038294 and 1312038303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312038337) 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 15 ways as a sum of consecutive naturals, for example, 205077 + ... + 211377.

It is an arithmetic number, because the mean of its divisors is an integer number (112931840).

Almost surely, 21312038327 is an apocalyptic number.

1312038327 is a deficient number, since it is larger than the sum of its proper divisors (494871113).

1312038327 is a wasteful number, since it uses less digits than its factorization.

1312038327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1312038327 is about 36222.0696123234. The cubic root of 1312038327 is about 1094.7513949494.

The spelling of 1312038327 in words is "one billion, three hundred twelve million, thirty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 31 93 2239 6301 6717 18903 69409 195331 208227 585993 14107939 42323817 437346109 1312038327