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1312782393 = 313237114197
BaseRepresentation
bin100111000111111…
…0111100000111001
310101111020020220010
41032033313200321
510142033014033
6334133252133
744350315626
oct11617674071
93344206803
101312782393
1161403892a
12307794049
1317bc92120
14c64cb34d
157a3b7863
hex4e3f7839

1312782393 has 16 divisors (see below), whose sum is σ = 1885948736. Its totient is φ = 807468480.

The previous prime is 1312782377. The next prime is 1312782397. The reversal of 1312782393 is 3932872131.

It is not a de Polignac number, because 1312782393 - 24 = 1312782377 is a prime.

It is a super-2 number, since 2×13127823932 = 3446795222741612898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1312782397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85371 + ... + 99567.

It is an arithmetic number, because the mean of its divisors is an integer number (117871796).

Almost surely, 21312782393 is an apocalyptic number.

1312782393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1312782393 is a deficient number, since it is larger than the sum of its proper divisors (573166343).

1312782393 is a wasteful number, since it uses less digits than its factorization.

1312782393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16584.

The product of its digits is 54432, while the sum is 39.

The square root of 1312782393 is about 36232.3390495287. The cubic root of 1312782393 is about 1094.9583028679.

The spelling of 1312782393 in words is "one billion, three hundred twelve million, seven hundred eighty-two thousand, three hundred ninety-three".

Divisors: 1 3 13 39 2371 7113 14197 30823 42591 92469 184561 553683 33661087 100983261 437594131 1312782393