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233330313131 is a prime number
BaseRepresentation
bin1101100101001110010…
…0100000011110101011
3211022021012011000122022
43121103210200132223
512310330030010011
6255105050215055
722600066636406
oct3312344403653
9738235130568
10233330313131
118aa55973833
1239279a2448b
131900664ac56
14b416956d3d
15610963c8db
hex36539207ab

233330313131 has 2 divisors, whose sum is σ = 233330313132. Its totient is φ = 233330313130.

The previous prime is 233330313113. The next prime is 233330313173. The reversal of 233330313131 is 131313033332.

It is a happy number.

233330313131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (233330313113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233330313131 is a prime.

It is a super-2 number, since 2×2333303131312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233330313131.

It is not a weakly prime, because it can be changed into another prime (233330313431) 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, 116665156565 + 116665156566.

It is an arithmetic number, because the mean of its divisors is an integer number (116665156566).

Almost surely, 2233330313131 is an apocalyptic number.

233330313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

233330313131 is an equidigital number, since it uses as much as digits as its factorization.

233330313131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 233330313131 its reverse (131313033332), we get a palindrome (364643346463).

The spelling of 233330313131 in words is "two hundred thirty-three billion, three hundred thirty million, three hundred thirteen thousand, one hundred thirty-one".