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233013322331 is a prime number
BaseRepresentation
bin1101100100000010101…
…1010010001001011011
3211021110002200020000022
43121000223102021123
512304202402303311
6255013404101055
722556200363106
oct3310053221133
9737402606008
10233013322331
118a902a44969
12391ab83478b
1318c85a8162a
14b3c67dd73d
1560db8c45db
hex3640ad225b

233013322331 has 2 divisors, whose sum is σ = 233013322332. Its totient is φ = 233013322330.

The previous prime is 233013322277. The next prime is 233013322369. The reversal of 233013322331 is 133223310332.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233013322331 is a prime.

It is a super-2 number, since 2×2330133223312 (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 233013322331.

It is not a weakly prime, because it can be changed into another prime (233013312331) 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, 116506661165 + 116506661166.

It is an arithmetic number, because the mean of its divisors is an integer number (116506661166).

Almost surely, 2233013322331 is an apocalyptic number.

233013322331 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013322331 is an equidigital number, since it uses as much as digits as its factorization.

233013322331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 233013322331 its reverse (133223310332), we get a palindrome (366236632663).

The spelling of 233013322331 in words is "two hundred thirty-three billion, thirteen million, three hundred twenty-two thousand, three hundred thirty-one".