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13817023321 is a prime number
BaseRepresentation
bin11001101111000111…
…10000101101011001
31022122221011111202111
430313203300231121
5211244124221241
610203014432321
7666253521553
oct146743605531
938587144674
1013817023321
115950393142
1228173626a1
1313c273515a
149510864d3
1555d03cc81
hex3378f0b59

13817023321 has 2 divisors, whose sum is σ = 13817023322. Its totient is φ = 13817023320.

The previous prime is 13817023301. The next prime is 13817023369. The reversal of 13817023321 is 12332071831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100000000 + 5717023321 = 90000^2 + 75611^2 .

It is an emirp because it is prime and its reverse (12332071831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13817023321 - 223 = 13808634713 is a prime.

It is not a weakly prime, because it can be changed into another prime (13817023301) 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, 6908511660 + 6908511661.

It is an arithmetic number, because the mean of its divisors is an integer number (6908511661).

Almost surely, 213817023321 is an apocalyptic number.

It is an amenable number.

13817023321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13817023321 is an equidigital number, since it uses as much as digits as its factorization.

13817023321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 13817023321 in words is "thirteen billion, eight hundred seventeen million, twenty-three thousand, three hundred twenty-one".