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1313130006 = 23272951667
BaseRepresentation
bin100111001000100…
…1100011000010110
310101111212220201200
41032101030120112
510142130130011
6334144533330
744353264236
oct11621143026
93344786650
101313130006
11614256011
12307921246
1317c084406
14c657bcc6
157a435856
hex4e44c616

1313130006 has 12 divisors (see below), whose sum is σ = 2845115052. Its totient is φ = 437709996.

The previous prime is 1313129989. The next prime is 1313130029. The reversal of 1313130006 is 6000313131.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 72951667 = 1313130006 / (1 + 3 + 1 + 3 + 1 + 3 + 0 + 0 + 0 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36475816 + ... + 36475851.

It is an arithmetic number, because the mean of its divisors is an integer number (237092921).

Almost surely, 21313130006 is an apocalyptic number.

1313130006 is an abundant number, since it is smaller than the sum of its proper divisors (1531985046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313130006 is a wasteful number, since it uses less digits than its factorization.

1313130006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72951675 (or 72951672 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313130006 is about 36237.1357311805. The cubic root of 1313130006 is about 1095.0549393840.

Adding to 1313130006 its reverse (6000313131), we get a palindrome (7313443137).

The spelling of 1313130006 in words is "one billion, three hundred thirteen million, one hundred thirty thousand, six".

Divisors: 1 2 3 6 9 18 72951667 145903334 218855001 437710002 656565003 1313130006