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231331013331233 is a prime number
BaseRepresentation
bin110100100110010011110010…
…111000000000100100100001
31010100002000210001201201210012
4310212103302320000210201
5220310111403403044413
62140000000031414305
766504054106450634
oct6446236270004441
91110060701651705
10231331013331233
1167788a28269352
1221b41600384395
139c10561ab471a
14411a6a33c1c1b
151bb26b582d7a8
hexd264f2e00921

231331013331233 has 2 divisors, whose sum is σ = 231331013331234. Its totient is φ = 231331013331232.

The previous prime is 231331013331161. The next prime is 231331013331259. The reversal of 231331013331233 is 332133310133132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227765083404544 + 3565929926689 = 15091888^2 + 1888367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231331013331233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 231331013331233.

It is not a weakly prime, because it can be changed into another prime (231331013331433) 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, 115665506665616 + 115665506665617.

It is an arithmetic number, because the mean of its divisors is an integer number (115665506665617).

Almost surely, 2231331013331233 is an apocalyptic number.

It is an amenable number.

231331013331233 is a deficient number, since it is larger than the sum of its proper divisors (1).

231331013331233 is an equidigital number, since it uses as much as digits as its factorization.

231331013331233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 231331013331233 its reverse (332133310133132), we get a palindrome (563464323464365).

The spelling of 231331013331233 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, two hundred thirty-three".