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8212680013 is a prime number
BaseRepresentation
bin1111010011000001…
…11000110101001101
3210012100121101000211
413221200320311031
5113304421230023
63434534122421
7410342425336
oct75140706515
923170541024
108212680013
11353493105a
1217124b0411
13a0b619a95
1457ca2b28d
1533100ba0d
hex1e9838d4d

8212680013 has 2 divisors, whose sum is σ = 8212680014. Its totient is φ = 8212680012.

The previous prime is 8212679987. The next prime is 8212680043. The reversal of 8212680013 is 3100862128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8027801604 + 184878409 = 89598^2 + 13597^2 .

It is a cyclic number.

It is not a de Polignac number, because 8212680013 - 229 = 7675809101 is a prime.

It is a super-2 number, since 2×82126800132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8212680043) 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, 4106340006 + 4106340007.

It is an arithmetic number, because the mean of its divisors is an integer number (4106340007).

Almost surely, 28212680013 is an apocalyptic number.

It is an amenable number.

8212680013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8212680013 is an equidigital number, since it uses as much as digits as its factorization.

8212680013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8212680013 is about 90623.8379953089. The cubic root of 8212680013 is about 2017.5685554622.

The spelling of 8212680013 in words is "eight billion, two hundred twelve million, six hundred eighty thousand, thirteen".