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1013670013 is a prime number
BaseRepresentation
bin111100011010110…
…110000001111101
32121122101202211211
4330122312001331
54033444420023
6244330244421
734056024106
oct7432660175
92548352754
101013670013
11480210314
12243586711
13132015355
14988a93ad
155ded1a0d
hex3c6b607d

1013670013 has 2 divisors, whose sum is σ = 1013670014. Its totient is φ = 1013670012.

The previous prime is 1013670011. The next prime is 1013670017. The reversal of 1013670013 is 3100763101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513566244 + 500103769 = 22662^2 + 22363^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013670013 - 21 = 1013670011 is a prime.

Together with 1013670011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013670011) 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 as a sum of consecutive naturals, namely, 506835006 + 506835007.

It is an arithmetic number, because the mean of its divisors is an integer number (506835007).

Almost surely, 21013670013 is an apocalyptic number.

It is an amenable number.

1013670013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013670013 is an equidigital number, since it uses as much as digits as its factorization.

1013670013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 1013670013 is about 31838.1848257717. The cubic root of 1013670013 is about 1004.5360640121.

The spelling of 1013670013 in words is "one billion, thirteen million, six hundred seventy thousand, thirteen".