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233113201001 is a prime number
BaseRepresentation
bin1101100100011010100…
…0010010100101101001
3211021201001121120210022
43121012220102211221
512304403434413001
6255031332530225
722561522341422
oct3310650224551
9737631546708
10233113201001
118a95436321a
1239219180975
1318ca0681b35
14b3d5b9c649
1560e555311b
hex3646a12969

233113201001 has 2 divisors, whose sum is σ = 233113201002. Its totient is φ = 233113201000.

The previous prime is 233113200997. The next prime is 233113201039. The reversal of 233113201001 is 100102311332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208895616601 + 24217584400 = 457051^2 + 155620^2 .

It is a cyclic number.

It is not a de Polignac number, because 233113201001 - 22 = 233113200997 is a prime.

It is not a weakly prime, because it can be changed into another prime (233113201081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116556600500 + 116556600501.

It is an arithmetic number, because the mean of its divisors is an integer number (116556600501).

Almost surely, 2233113201001 is an apocalyptic number.

It is an amenable number.

233113201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

233113201001 is an equidigital number, since it uses as much as digits as its factorization.

233113201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 233113201001 its reverse (100102311332), we get a palindrome (333215512333).

The spelling of 233113201001 in words is "two hundred thirty-three billion, one hundred thirteen million, two hundred one thousand, one".