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172893109013 is a prime number
BaseRepresentation
bin1010000100000100111…
…0110111101100010101
3121112021012212221120222
42201001032313230111
510313041113442023
6211232003204125
715330311115212
oct2410116675425
9545235787528
10172893109013
116736171a859
1229611676645
13133c4454401
148521db6b09
15476d827cc8
hex28413b7b15

172893109013 has 2 divisors, whose sum is σ = 172893109014. Its totient is φ = 172893109012.

The previous prime is 172893108959. The next prime is 172893109069. The reversal of 172893109013 is 310901398271.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171733161649 + 1159947364 = 414407^2 + 34058^2 .

It is an emirp because it is prime and its reverse (310901398271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 172893109013 - 218 = 172892846869 is a prime.

It is a super-2 number, since 2×1728931090132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172893109093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86446554506 + 86446554507.

It is an arithmetic number, because the mean of its divisors is an integer number (86446554507).

Almost surely, 2172893109013 is an apocalyptic number.

It is an amenable number.

172893109013 is a deficient number, since it is larger than the sum of its proper divisors (1).

172893109013 is an equidigital number, since it uses as much as digits as its factorization.

172893109013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 172893109013 in words is "one hundred seventy-two billion, eight hundred ninety-three million, one hundred nine thousand, thirteen".