Search a number
-
+
42232231102213 is a prime number
BaseRepresentation
bin10011001101000111101010…
…01000100000011100000101
312112112100202210120012000101
421212203311020200130011
521013413102130232323
6225453115155444101
711616115025252605
oct1146436510403405
9175470683505011
1042232231102213
1112502652513209
1248a0a808b6631
131a746368142c9
14a6009d90ac05
154d3855aa9dad
hex2668f5220705

42232231102213 has 2 divisors, whose sum is σ = 42232231102214. Its totient is φ = 42232231102212.

The previous prime is 42232231102189. The next prime is 42232231102223. The reversal of 42232231102213 is 31220113223224.

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., 40662978823009 + 1569252279204 = 6376753^2 + 1252698^2 .

It is a cyclic number.

It is not a de Polignac number, because 42232231102213 - 25 = 42232231102181 is a prime.

It is a super-2 number, since 2×422322311022132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42232231102223) 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, 21116115551106 + 21116115551107.

It is an arithmetic number, because the mean of its divisors is an integer number (21116115551107).

Almost surely, 242232231102213 is an apocalyptic number.

It is an amenable number.

42232231102213 is a deficient number, since it is larger than the sum of its proper divisors (1).

42232231102213 is an equidigital number, since it uses as much as digits as its factorization.

42232231102213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42232231102213 its reverse (31220113223224), we get a palindrome (73452344325437).

The spelling of 42232231102213 in words is "forty-two trillion, two hundred thirty-two billion, two hundred thirty-one million, one hundred two thousand, two hundred thirteen".