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83013812660413 is a prime number
BaseRepresentation
bin10010111000000000101000…
…110100001010100010111101
3101212221001011100002011001101
4102320000220310022202331
541340044242020113123
6452320004041213101
723325356444055415
oct2270005064124275
9355831140064041
1083013812660413
11244a5a62099048
129388771a91191
13374222722a45b
14166dc66119645
1598e5a6b07aad
hex4b8028d0a8bd

83013812660413 has 2 divisors, whose sum is σ = 83013812660414. Its totient is φ = 83013812660412.

The previous prime is 83013812660381. The next prime is 83013812660503. The reversal of 83013812660413 is 31406621831038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55295925271129 + 27717887389284 = 7436123^2 + 5264778^2 .

It is a cyclic number.

It is not a de Polignac number, because 83013812660413 - 25 = 83013812660381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83013812660813) 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, 41506906330206 + 41506906330207.

It is an arithmetic number, because the mean of its divisors is an integer number (41506906330207).

Almost surely, 283013812660413 is an apocalyptic number.

It is an amenable number.

83013812660413 is a deficient number, since it is larger than the sum of its proper divisors (1).

83013812660413 is an equidigital number, since it uses as much as digits as its factorization.

83013812660413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 83013812660413 in words is "eighty-three trillion, thirteen billion, eight hundred twelve million, six hundred sixty thousand, four hundred thirteen".