Search a number
-
+
13345812257 is a prime number
BaseRepresentation
bin11000110110111100…
…01110111100100001
31021110002111111200212
430123132032330201
5204313011443012
610044143023505
7651502350431
oct143336167441
937402444625
1013345812257
1157293aa308
12270559ab95
131348c1ca3b
149086662c1
155319aeb22
hex31b78ef21

13345812257 has 2 divisors, whose sum is σ = 13345812258. Its totient is φ = 13345812256.

The previous prime is 13345812253. The next prime is 13345812281. The reversal of 13345812257 is 75221854331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10176572641 + 3169239616 = 100879^2 + 56296^2 .

It is a cyclic number.

It is not a de Polignac number, because 13345812257 - 22 = 13345812253 is a prime.

It is a super-2 number, since 2×133458122572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13345812251) 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, 6672906128 + 6672906129.

It is an arithmetic number, because the mean of its divisors is an integer number (6672906129).

Almost surely, 213345812257 is an apocalyptic number.

It is an amenable number.

13345812257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13345812257 is an equidigital number, since it uses as much as digits as its factorization.

13345812257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 41.

The spelling of 13345812257 in words is "thirteen billion, three hundred forty-five million, eight hundred twelve thousand, two hundred fifty-seven".