Search a number
-
+
23303313311 is a prime number
BaseRepresentation
bin10101101100111111…
…000101011110011111
32020011001021222020012
4111230333011132133
5340211122011221
614412210513435
71453322615645
oct255477053637
966131258205
1023303313311
119979127223
12462429587b
132274b7a0b5
1411b0cc5195
15915c7565b
hex56cfc579f

23303313311 has 2 divisors, whose sum is σ = 23303313312. Its totient is φ = 23303313310.

The previous prime is 23303313307. The next prime is 23303313331. The reversal of 23303313311 is 11331330332.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 23303313311 - 22 = 23303313307 is a prime.

It is a super-2 number, since 2×233033133112 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23303313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11651656655 + 11651656656.

It is an arithmetic number, because the mean of its divisors is an integer number (11651656656).

Almost surely, 223303313311 is an apocalyptic number.

23303313311 is a deficient number, since it is larger than the sum of its proper divisors (1).

23303313311 is an equidigital number, since it uses as much as digits as its factorization.

23303313311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 23303313311 its reverse (11331330332), we get a palindrome (34634643643).

The spelling of 23303313311 in words is "twenty-three billion, three hundred three million, three hundred thirteen thousand, three hundred eleven".