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13217256389 is a prime number
BaseRepresentation
bin11000100111100111…
…10101001111000101
31021010010121012012102
430103303311033011
5204032104201024
610023311401445
7645351553121
oct142363651705
937103535172
1013217256389
115672884397
12268a523285
1313283bb68c
148d5560581
155255691ae
hex313cf53c5

13217256389 has 2 divisors, whose sum is σ = 13217256390. Its totient is φ = 13217256388.

The previous prime is 13217256343. The next prime is 13217256401. The reversal of 13217256389 is 98365271231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12283953889 + 933302500 = 110833^2 + 30550^2 .

It is an emirp because it is prime and its reverse (98365271231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13217256389 - 232 = 8922289093 is a prime.

It is a super-2 number, since 2×132172563892 (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 (13217256319) 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, 6608628194 + 6608628195.

It is an arithmetic number, because the mean of its divisors is an integer number (6608628195).

Almost surely, 213217256389 is an apocalyptic number.

It is an amenable number.

13217256389 is a deficient number, since it is larger than the sum of its proper divisors (1).

13217256389 is an equidigital number, since it uses as much as digits as its factorization.

13217256389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 47.

The spelling of 13217256389 in words is "thirteen billion, two hundred seventeen million, two hundred fifty-six thousand, three hundred eighty-nine".