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233113031321 is a prime number
BaseRepresentation
bin1101100100011010011…
…1101001001010011001
3211021201001021222000212
43121012213221022121
512304403414000241
6255031325140505
722561521033632
oct3310647511231
9737631258025
10233113031321
118a954257795
12392190ba735
1318ca0622831
14b3d5b56889
1560e551cbeb
hex36469e9299

233113031321 has 2 divisors, whose sum is σ = 233113031322. Its totient is φ = 233113031320.

The previous prime is 233113031303. The next prime is 233113031351. The reversal of 233113031321 is 123130311332.

233113031321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229972998025 + 3140033296 = 479555^2 + 56036^2 .

It is a cyclic number.

It is not a de Polignac number, because 233113031321 - 26 = 233113031257 is a prime.

It is not a weakly prime, because it can be changed into another prime (233113031351) 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, 116556515660 + 116556515661.

It is an arithmetic number, because the mean of its divisors is an integer number (116556515661).

Almost surely, 2233113031321 is an apocalyptic number.

It is an amenable number.

233113031321 is a deficient number, since it is larger than the sum of its proper divisors (1).

233113031321 is an equidigital number, since it uses as much as digits as its factorization.

233113031321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 233113031321 its reverse (123130311332), we get a palindrome (356243342653).

The spelling of 233113031321 in words is "two hundred thirty-three billion, one hundred thirteen million, thirty-one thousand, three hundred twenty-one".