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13302109993 is a prime number
BaseRepresentation
bin11000110001101111…
…00001011100101001
31021100001021012110111
430120313201130221
5204220320004433
610035542214321
7650432032534
oct143067413451
937301235414
1013302109993
115706770137
1226b2a243a1
13133cb5b003
1490292ba1b
1552cc2adcd
hex318de1729

13302109993 has 2 divisors, whose sum is σ = 13302109994. Its totient is φ = 13302109992.

The previous prime is 13302109991. The next prime is 13302110023. The reversal of 13302109993 is 39990120331.

13302109993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8059191529 + 5242918464 = 89773^2 + 72408^2 .

It is a cyclic number.

It is not a de Polignac number, because 13302109993 - 21 = 13302109991 is a prime.

It is a super-2 number, since 2×133021099932 (a number of 21 digits) contains 22 as substring.

Together with 13302109991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13302109991) 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, 6651054996 + 6651054997.

It is an arithmetic number, because the mean of its divisors is an integer number (6651054997).

Almost surely, 213302109993 is an apocalyptic number.

It is an amenable number.

13302109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13302109993 is an equidigital number, since it uses as much as digits as its factorization.

13302109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 40.

The spelling of 13302109993 in words is "thirteen billion, three hundred two million, one hundred nine thousand, nine hundred ninety-three".