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10338261217 is a prime number
BaseRepresentation
bin10011010000011010…
…10101100011100001
3222200111021002021121
421220031111203201
5132133043324332
64425504452241
7514122525154
oct115015254341
928614232247
1010338261217
114425751739
12200631a081
13c89ac353b
14701055c9b
15407928797
hex2683558e1

10338261217 has 2 divisors, whose sum is σ = 10338261218. Its totient is φ = 10338261216.

The previous prime is 10338261203. The next prime is 10338261239. The reversal of 10338261217 is 71216283301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8107021521 + 2231239696 = 90039^2 + 47236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10338261217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10338261277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5169130608 + 5169130609.

It is an arithmetic number, because the mean of its divisors is an integer number (5169130609).

Almost surely, 210338261217 is an apocalyptic number.

It is an amenable number.

10338261217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10338261217 is an equidigital number, since it uses as much as digits as its factorization.

10338261217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10338261217 in words is "ten billion, three hundred thirty-eight million, two hundred sixty-one thousand, two hundred seventeen".