Search a number
-
+
22310233133261 is a prime number
BaseRepresentation
bin1010001001010100000011…
…00001010101000011001101
32220222211121111200102012112
411010222001201111003031
510411012324140231021
6115241102443513405
74461601242450143
oct504520141250315
986884544612175
1022310233133261
117121797a82647
122603a57b28865
13c5aacc74c638
14571b6cd3b593
1528a518ad1d5b
hex144a818550cd

22310233133261 has 2 divisors, whose sum is σ = 22310233133262. Its totient is φ = 22310233133260.

The previous prime is 22310233133257. The next prime is 22310233133323. The reversal of 22310233133261 is 16233133201322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12600590172361 + 9709642960900 = 3549731^2 + 3116030^2 .

It is a cyclic number.

It is not a de Polignac number, because 22310233133261 - 22 = 22310233133257 is a prime.

It is a super-3 number, since 3×223102331332613 (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 (22310233133161) 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, 11155116566630 + 11155116566631.

It is an arithmetic number, because the mean of its divisors is an integer number (11155116566631).

Almost surely, 222310233133261 is an apocalyptic number.

It is an amenable number.

22310233133261 is a deficient number, since it is larger than the sum of its proper divisors (1).

22310233133261 is an equidigital number, since it uses as much as digits as its factorization.

22310233133261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 22310233133261 its reverse (16233133201322), we get a palindrome (38543366334583).

The spelling of 22310233133261 in words is "twenty-two trillion, three hundred ten billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred sixty-one".