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312130001013 = 3569367349783
BaseRepresentation
bin1001000101011000110…
…01011101100001110101
31002211122212122220221220
410202230121131201311
520103220240013023
6355220205100553
731356605142645
oct4425431354165
91084585586856
10312130001013
11110412280626
12505ab857759
1323583bac4bc
1411170120525
1581bc55d3e3
hex48ac65d875

312130001013 has 16 divisors (see below), whose sum is σ = 417026628480. Its totient is φ = 207660236544.

The previous prime is 312130001011. The next prime is 312130001039. The reversal of 312130001013 is 310100031213.

It is not a de Polignac number, because 312130001013 - 21 = 312130001011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312130000983 and 312130001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130001011) 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 15 ways as a sum of consecutive naturals, for example, 6244920 + ... + 6294702.

It is an arithmetic number, because the mean of its divisors is an integer number (26064164280).

Almost surely, 2312130001013 is an apocalyptic number.

It is an amenable number.

312130001013 is a deficient number, since it is larger than the sum of its proper divisors (104896627467).

312130001013 is a wasteful number, since it uses less digits than its factorization.

312130001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54028.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 312130001013 its reverse (310100031213), we get a palindrome (622230032226).

The spelling of 312130001013 in words is "three hundred twelve billion, one hundred thirty million, one thousand, thirteen".

Divisors: 1 3 569 1707 3673 11019 49783 149349 2089937 6269811 28326527 84979581 182852959 548558877 104043333671 312130001013