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2231311202231 is a prime number
BaseRepresentation
bin100000011110000100100…
…000101111011110110111
321220022101220200102011012
4200132010200233132313
5243024211131432411
64425014502502435
7320130654165656
oct40360440573667
97808356612135
102231311202231
11790326004721
12300539734a1b
131325477a6437
1479dd31b519d
153d09523018b
hex2078482f7b7

2231311202231 has 2 divisors, whose sum is σ = 2231311202232. Its totient is φ = 2231311202230.

The previous prime is 2231311202209. The next prime is 2231311202233. The reversal of 2231311202231 is 1322021131322.

2231311202231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2231311202231 - 238 = 1956433295287 is a prime.

It is a super-3 number, since 3×22313112022313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 2231311202233, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2231311202197 and 2231311202206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231311202233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115655601115 + 1115655601116.

It is an arithmetic number, because the mean of its divisors is an integer number (1115655601116).

Almost surely, 22231311202231 is an apocalyptic number.

2231311202231 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231311202231 is an equidigital number, since it uses as much as digits as its factorization.

2231311202231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2231311202231 its reverse (1322021131322), we get a palindrome (3553332333553).

The spelling of 2231311202231 in words is "two trillion, two hundred thirty-one billion, three hundred eleven million, two hundred two thousand, two hundred thirty-one".