Search a number
-
+
22330400403313 is a prime number
BaseRepresentation
bin1010001001111001100111…
…00101010110111101110001
32221001202122222221212211101
411010330303211112331301
510411330130000401223
6115254235550244401
74463214065432632
oct504746345267561
987052588855741
1022330400403313
11712a2a696a082
122607945ab6701
13c5c994991b22
14572b23525889
1528ace938e4ad
hex144f33956f71

22330400403313 has 2 divisors, whose sum is σ = 22330400403314. Its totient is φ = 22330400403312.

The previous prime is 22330400403301. The next prime is 22330400403329. The reversal of 22330400403313 is 31330400403322.

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., 21990781861489 + 339618541824 = 4689433^2 + 582768^2 .

It is a cyclic number.

It is not a de Polignac number, because 22330400403313 - 233 = 22321810468721 is a prime.

It is a super-2 number, since 2×223304004033132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22330400403413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11165200201656 + 11165200201657.

It is an arithmetic number, because the mean of its divisors is an integer number (11165200201657).

Almost surely, 222330400403313 is an apocalyptic number.

It is an amenable number.

22330400403313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22330400403313 is an equidigital number, since it uses as much as digits as its factorization.

22330400403313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 22330400403313 its reverse (31330400403322), we get a palindrome (53660800806635).

Subtracting 22330400403313 from its reverse (31330400403322), we obtain a palindrome (9000000000009).

The spelling of 22330400403313 in words is "twenty-two trillion, three hundred thirty billion, four hundred million, four hundred three thousand, three hundred thirteen".