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233113101233 is a prime number
BaseRepresentation
bin1101100100011010011…
…1111010001110110001
3211021201001102111221012
43121012213322032301
512304403423214413
6255031330440305
722561521444515
oct3310647721661
9737631374835
10233113101233
118a9542a5271
1239219133095
1318ca06485bc
14b3d5b74145
1560e55337a8
hex36469fa3b1

233113101233 has 2 divisors, whose sum is σ = 233113101234. Its totient is φ = 233113101232.

The previous prime is 233113101227. The next prime is 233113101251. The reversal of 233113101233 is 332101311332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194395455409 + 38717645824 = 440903^2 + 196768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233113101233 is a prime.

It is a super-2 number, since 2×2331131012332 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233113101199 and 233113101208.

It is not a weakly prime, because it can be changed into another prime (233113103233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116556550616 + 116556550617.

It is an arithmetic number, because the mean of its divisors is an integer number (116556550617).

Almost surely, 2233113101233 is an apocalyptic number.

It is an amenable number.

233113101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

233113101233 is an equidigital number, since it uses as much as digits as its factorization.

233113101233 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 233113101233 its reverse (332101311332), we get a palindrome (565214412565).

The spelling of 233113101233 in words is "two hundred thirty-three billion, one hundred thirteen million, one hundred one thousand, two hundred thirty-three".