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2231302211321 is a prime number
BaseRepresentation
bin100000011110000011111…
…110011100011011111001
321220022101021202121221112
4200132003332130123321
5243024201331230241
64425013542050105
7320130514601261
oct40360376343371
97808337677845
102231302211321
11790320a23717
12300536719935
13132545978c81
1479dd1d147a1
153d0945561eb
hex20783f9c6f9

2231302211321 has 2 divisors, whose sum is σ = 2231302211322. Its totient is φ = 2231302211320.

The previous prime is 2231302211279. The next prime is 2231302211323. The reversal of 2231302211321 is 1231122031322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1901464492096 + 329837719225 = 1378936^2 + 574315^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231302211321 - 222 = 2231298017017 is a prime.

It is a super-3 number, since 3×22313022113213 (a number of 38 digits) contains 333 as substring.

Together with 2231302211323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2231302211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115651105660 + 1115651105661.

It is an arithmetic number, because the mean of its divisors is an integer number (1115651105661).

Almost surely, 22231302211321 is an apocalyptic number.

It is an amenable number.

2231302211321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231302211321 is an equidigital number, since it uses as much as digits as its factorization.

2231302211321 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 2231302211321 its reverse (1231122031322), we get a palindrome (3462424242643).

The spelling of 2231302211321 in words is "two trillion, two hundred thirty-one billion, three hundred two million, two hundred eleven thousand, three hundred twenty-one".