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233123433013 is a prime number
BaseRepresentation
bin1101100100011100111…
…1010100101000110101
3211021201202212102110201
43121013033110220311
512304414044324023
6255032340120501
722562005325362
oct3310717245065
9737652772421
10233123433013
118a95a111729
1239220696131
1318ca2825193
14b3d72a3469
1560e63c4bad
hex36473d4a35

233123433013 has 2 divisors, whose sum is σ = 233123433014. Its totient is φ = 233123433012.

The previous prime is 233123432947. The next prime is 233123433029. The reversal of 233123433013 is 310334321332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233039838564 + 83594449 = 482742^2 + 9143^2 .

It is a cyclic number.

It is not a de Polignac number, because 233123433013 - 217 = 233123301941 is a prime.

It is a super-3 number, since 3×2331234330133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233123433043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561716506 + 116561716507.

It is an arithmetic number, because the mean of its divisors is an integer number (116561716507).

Almost surely, 2233123433013 is an apocalyptic number.

It is an amenable number.

233123433013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233123433013 is an equidigital number, since it uses as much as digits as its factorization.

233123433013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 233123433013 its reverse (310334321332), we get a palindrome (543457754345).

The spelling of 233123433013 in words is "two hundred thirty-three billion, one hundred twenty-three million, four hundred thirty-three thousand, thirteen".