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233012101313 is a prime number
BaseRepresentation
bin1101100100000010011…
…0101000000011000001
3211021110000101012002102
43121000212220003001
512304202044220223
6255013322000145
722556154116225
oct3310046500301
9737400335072
10233012101313
118a902290562
12391ab346055
1318c85744934
14b3c65a2785
1560db732928
hex36409a80c1

233012101313 has 2 divisors, whose sum is σ = 233012101314. Its totient is φ = 233012101312.

The previous prime is 233012101261. The next prime is 233012101337. The reversal of 233012101313 is 313101210332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151837253569 + 81174847744 = 389663^2 + 284912^2 .

It is a cyclic number.

It is not a de Polignac number, because 233012101313 - 212 = 233012097217 is a prime.

It is not a weakly prime, because it can be changed into another prime (233612101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116506050656 + 116506050657.

It is an arithmetic number, because the mean of its divisors is an integer number (116506050657).

Almost surely, 2233012101313 is an apocalyptic number.

It is an amenable number.

233012101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233012101313 is an equidigital number, since it uses as much as digits as its factorization.

233012101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 233012101313 its reverse (313101210332), we get a palindrome (546113311645).

The spelling of 233012101313 in words is "two hundred thirty-three billion, twelve million, one hundred one thousand, three hundred thirteen".