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23542131313 is a prime number
BaseRepresentation
bin10101111011001110…
…000110101001110001
32020202200200011221101
4111323032012221301
5341203241200223
614452021324401
71462252546231
oct257316065161
966680604841
1023542131313
119a90a12778
124690266701
1322b24a5c1c
1411d48cdcc1
1592bbeb4ad
hex57b386a71

23542131313 has 2 divisors, whose sum is σ = 23542131314. Its totient is φ = 23542131312.

The previous prime is 23542131307. The next prime is 23542131329. The reversal of 23542131313 is 31313124532.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14722667569 + 8819463744 = 121337^2 + 93912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23542131313 is a prime.

It is not a weakly prime, because it can be changed into another prime (23542137313) 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, 11771065656 + 11771065657.

It is an arithmetic number, because the mean of its divisors is an integer number (11771065657).

Almost surely, 223542131313 is an apocalyptic number.

It is an amenable number.

23542131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23542131313 is an equidigital number, since it uses as much as digits as its factorization.

23542131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 28.

Adding to 23542131313 its reverse (31313124532), we get a palindrome (54855255845).

The spelling of 23542131313 in words is "twenty-three billion, five hundred forty-two million, one hundred thirty-one thousand, three hundred thirteen".