Search a number
-
+
22310233133213 is a prime number
BaseRepresentation
bin1010001001010100000011…
…00001010101000010011101
32220222211121111200102010202
411010222001201111002131
510411012324140230323
6115241102443513245
74461601242450044
oct504520141250235
986884544612122
1022310233133213
117121797a82603
122603a57b28825
13c5aacc74c5cc
14571b6cd3b55b
1528a518ad1d28
hex144a8185509d

22310233133213 has 2 divisors, whose sum is σ = 22310233133214. Its totient is φ = 22310233133212.

The previous prime is 22310233133161. The next prime is 22310233133257. The reversal of 22310233133213 is 31233133201322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20718855929209 + 1591377204004 = 4551797^2 + 1261498^2 .

It is a cyclic number.

It is not a de Polignac number, because 22310233133213 - 240 = 21210721505437 is a prime.

It is a super-3 number, since 3×223102331332133 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22310233133813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155116566606 + 11155116566607.

It is an arithmetic number, because the mean of its divisors is an integer number (11155116566607).

Almost surely, 222310233133213 is an apocalyptic number.

It is an amenable number.

22310233133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22310233133213 is an equidigital number, since it uses as much as digits as its factorization.

22310233133213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 22310233133213 its reverse (31233133201322), we get a palindrome (53543366334535).

The spelling of 22310233133213 in words is "twenty-two trillion, three hundred ten billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred thirteen".