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6312031117 = 731173383439
BaseRepresentation
bin1011110000011100…
…11111001110001101
3121021220012101220021
411320032133032031
5100411334443432
62522200422141
7312263244040
oct57016371615
917256171807
106312031117
112749a82447
121281a77951
13797919a72
1443c434c57
1526e221697
hex17839f38d

6312031117 has 32 divisors (see below), whose sum is σ = 7526154240. Its totient is φ = 5180103360.

The previous prime is 6312031093. The next prime is 6312031129. The reversal of 6312031117 is 7111302136.

It is a cyclic number.

It is not a de Polignac number, because 6312031117 - 215 = 6311998349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6312031091 and 6312031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6312031147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14377984 + ... + 14378422.

It is an arithmetic number, because the mean of its divisors is an integer number (235192320).

Almost surely, 26312031117 is an apocalyptic number.

It is an amenable number.

6312031117 is a deficient number, since it is larger than the sum of its proper divisors (1214123123).

6312031117 is a wasteful number, since it uses less digits than its factorization.

6312031117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 6312031117 is about 79448.2920961804. The cubic root of 6312031117 is about 1848.0896878888.

The spelling of 6312031117 in words is "six billion, three hundred twelve million, thirty-one thousand, one hundred seventeen".

Divisors: 1 7 31 173 217 383 439 1211 2681 3073 5363 11873 13609 37541 66259 75947 83111 95263 168137 463813 531629 1176959 2054029 2354357 5212247 14378203 16480499 29087701 36485729 203613907 901718731 6312031117