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1312410013 = 17233331333
BaseRepresentation
bin100111000111001…
…1100100110011101
310101110112100002021
41032032130212131
510141434110023
6334121300141
744344205155
oct11616344635
93343470067
101312410013
11613904082
12307634651
1317bb91795
14c6431765
157a34235d
hex4e39c99d

1312410013 has 8 divisors (see below), whose sum is σ = 1395578808. Its totient is φ = 1229904384.

The previous prime is 1312409981. The next prime is 1312410023. The reversal of 1312410013 is 3100142131.

It can be written as a sum of positive squares in 4 ways, for example, as 24820324 + 1287589689 = 4982^2 + 35883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1312410013 - 25 = 1312409981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312410023) 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 7 ways as a sum of consecutive naturals, for example, 161706 + ... + 169627.

It is an arithmetic number, because the mean of its divisors is an integer number (174447351).

Almost surely, 21312410013 is an apocalyptic number.

It is an amenable number.

1312410013 is a deficient number, since it is larger than the sum of its proper divisors (83168795).

1312410013 is a wasteful number, since it uses less digits than its factorization.

1312410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331583.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1312410013 is about 36227.1999055958. The cubic root of 1312410013 is about 1094.8547621913.

Adding to 1312410013 its reverse (3100142131), we get a palindrome (4412552144).

The spelling of 1312410013 in words is "one billion, three hundred twelve million, four hundred ten thousand, thirteen".

Divisors: 1 17 233 3961 331333 5632661 77200589 1312410013