Search a number
-
+
22310233133257 is a prime number
BaseRepresentation
bin1010001001010100000011…
…00001010101000011001001
32220222211121111200102012101
411010222001201111003021
510411012324140231012
6115241102443513401
74461601242450136
oct504520141250311
986884544612171
1022310233133257
117121797a82643
122603a57b28861
13c5aacc74c634
14571b6cd3b58d
1528a518ad1d57
hex144a818550c9

22310233133257 has 2 divisors, whose sum is σ = 22310233133258. Its totient is φ = 22310233133256.

The previous prime is 22310233133213. The next prime is 22310233133261. The reversal of 22310233133257 is 75233133201322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19380456600976 + 2929776532281 = 4402324^2 + 1711659^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22310233133257 is a prime.

It is a super-3 number, since 3×223102331332573 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22310233133857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155116566628 + 11155116566629.

It is an arithmetic number, because the mean of its divisors is an integer number (11155116566629).

Almost surely, 222310233133257 is an apocalyptic number.

It is an amenable number.

22310233133257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22310233133257 is an equidigital number, since it uses as much as digits as its factorization.

22310233133257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 37.

Adding to 22310233133257 its reverse (75233133201322), we get a palindrome (97543366334579).

The spelling of 22310233133257 in words is "twenty-two trillion, three hundred ten billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred fifty-seven".