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233313213073 is a prime number
BaseRepresentation
bin1101100101001010001…
…1010001101010010001
3211022012222222020202211
43121102203101222101
512310311140304243
6255103235512121
722566501406123
oct3312243215221
9738188866684
10233313213073
118aa47254256
1239274158641
1319002c41785
14b414585213
156107db0d9d
hex36528d1a91

233313213073 has 2 divisors, whose sum is σ = 233313213074. Its totient is φ = 233313213072.

The previous prime is 233313213059. The next prime is 233313213079. The reversal of 233313213073 is 370312313332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 232060902529 + 1252310544 = 481727^2 + 35388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233313213073 is a prime.

It is not a weakly prime, because it can be changed into another prime (233313213079) 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, 116656606536 + 116656606537.

It is an arithmetic number, because the mean of its divisors is an integer number (116656606537).

Almost surely, 2233313213073 is an apocalyptic number.

It is an amenable number.

233313213073 is a deficient number, since it is larger than the sum of its proper divisors (1).

233313213073 is an equidigital number, since it uses as much as digits as its factorization.

233313213073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 31.

The spelling of 233313213073 in words is "two hundred thirty-three billion, three hundred thirteen million, two hundred thirteen thousand, seventy-three".