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23040314257 is a prime number
BaseRepresentation
bin10101011101010011…
…110100101110010001
32012110201102020100111
4111131103310232101
5334141310024012
614330133521321
71443650303602
oct253523645621
965421366314
1023040314257
119853725134
1245701a3241
132232535a5c
141187dc3da9
158ecb24ba7
hex55d4f4b91

23040314257 has 2 divisors, whose sum is σ = 23040314258. Its totient is φ = 23040314256.

The previous prime is 23040314237. The next prime is 23040314267. The reversal of 23040314257 is 75241304032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22981347216 + 58967041 = 151596^2 + 7679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23040314257 is a prime.

It is a super-2 number, since 2×230403142572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23040314207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11520157128 + 11520157129.

It is an arithmetic number, because the mean of its divisors is an integer number (11520157129).

Almost surely, 223040314257 is an apocalyptic number.

It is an amenable number.

23040314257 is a deficient number, since it is larger than the sum of its proper divisors (1).

23040314257 is an equidigital number, since it uses as much as digits as its factorization.

23040314257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 23040314257 its reverse (75241304032), we get a palindrome (98281618289).

The spelling of 23040314257 in words is "twenty-three billion, forty million, three hundred fourteen thousand, two hundred fifty-seven".