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2013142214309 is a prime number
BaseRepresentation
bin11101010010111000101…
…000000110011010100101
321010110021100020111210012
4131102320220012122211
5230440403401324214
64140454052140005
7265305353324462
oct35227050063245
97113240214705
102013142214309
1170685032aa26
122861b1307605
13117ab923a245
146d618078669
1537576b7203e
hex1d4b8a066a5

2013142214309 has 2 divisors, whose sum is σ = 2013142214310. Its totient is φ = 2013142214308.

The previous prime is 2013142214273. The next prime is 2013142214323. The reversal of 2013142214309 is 9034122413102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1987316117284 + 25826097025 = 1409722^2 + 160705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013142214309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013142214339) 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 as a sum of consecutive naturals, namely, 1006571107154 + 1006571107155.

It is an arithmetic number, because the mean of its divisors is an integer number (1006571107155).

Almost surely, 22013142214309 is an apocalyptic number.

It is an amenable number.

2013142214309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013142214309 is an equidigital number, since it uses as much as digits as its factorization.

2013142214309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 2013142214309 in words is "two trillion, thirteen billion, one hundred forty-two million, two hundred fourteen thousand, three hundred nine".