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233131311317 is a prime number
BaseRepresentation
bin1101100100011110110…
…1011000000011010101
3211021202022200200110202
43121013231120003111
512304423103430232
6255033221030245
722562132310242
oct3310755300325
9737668620422
10233131311317
118a963602823
1239223255385
1318ca43530b8
14b3d83545c9
1560e6e2e162
hex3647b580d5

233131311317 has 2 divisors, whose sum is σ = 233131311318. Its totient is φ = 233131311316.

The previous prime is 233131311307. The next prime is 233131311383. The reversal of 233131311317 is 713113131332.

It is a happy number.

233131311317 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., 220711100401 + 12420210916 = 469799^2 + 111446^2 .

It is a cyclic number.

It is not a de Polignac number, because 233131311317 - 26 = 233131311253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233131311317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233131311307) 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, 116565655658 + 116565655659.

It is an arithmetic number, because the mean of its divisors is an integer number (116565655659).

Almost surely, 2233131311317 is an apocalyptic number.

It is an amenable number.

233131311317 is a deficient number, since it is larger than the sum of its proper divisors (1).

233131311317 is an equidigital number, since it uses as much as digits as its factorization.

233131311317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 29.

Adding to 233131311317 its reverse (713113131332), we get a palindrome (946244442649).

The spelling of 233131311317 in words is "two hundred thirty-three billion, one hundred thirty-one million, three hundred eleven thousand, three hundred seventeen".