Search a number
-
+
13222212257 is a prime number
BaseRepresentation
bin11000101000001101…
…01111001010100001
31021010110220222101002
430110012233022201
5204034341243012
610024005521345
7645441643532
oct142406571241
937113828332
1013222212257
115675659851
122690113255
131329435347
148d6090689
15525be77c2
hex3141af2a1

13222212257 has 2 divisors, whose sum is σ = 13222212258. Its totient is φ = 13222212256.

The previous prime is 13222212209. The next prime is 13222212277. The reversal of 13222212257 is 75221222231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10309559296 + 2912652961 = 101536^2 + 53969^2 .

It is a cyclic number.

It is not a de Polignac number, because 13222212257 - 214 = 13222195873 is a prime.

It is a super-2 number, since 2×132222122572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13222212277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611106128 + 6611106129.

It is an arithmetic number, because the mean of its divisors is an integer number (6611106129).

Almost surely, 213222212257 is an apocalyptic number.

It is an amenable number.

13222212257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222212257 is an equidigital number, since it uses as much as digits as its factorization.

13222212257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 29.

Adding to 13222212257 its reverse (75221222231), we get a palindrome (88443434488).

The spelling of 13222212257 in words is "thirteen billion, two hundred twenty-two million, two hundred twelve thousand, two hundred fifty-seven".