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2231223102301 is a prime number
BaseRepresentation
bin100000011101111111010…
…000101010101101011101
321220022011202220110202211
4200131333100222231131
5243024021103233201
64425002034320421
7320125534305604
oct40357720525535
97808152813684
102231223102301
11790290300966
12300514129111
1313253246b2bb
1479dc5600a3b
153d08c62b651
hex2077f42ab5d

2231223102301 has 2 divisors, whose sum is σ = 2231223102302. Its totient is φ = 2231223102300.

The previous prime is 2231223102299. The next prime is 2231223102341. The reversal of 2231223102301 is 1032013221322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2216081799801 + 15141302500 = 1488651^2 + 123050^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231223102301 - 21 = 2231223102299 is a prime.

It is a super-3 number, since 3×22312231023013 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2231223102299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231223102341) 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, 1115611551150 + 1115611551151.

It is an arithmetic number, because the mean of its divisors is an integer number (1115611551151).

Almost surely, 22231223102301 is an apocalyptic number.

It is an amenable number.

2231223102301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231223102301 is an equidigital number, since it uses as much as digits as its factorization.

2231223102301 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 22.

Adding to 2231223102301 its reverse (1032013221322), we get a palindrome (3263236323623).

The spelling of 2231223102301 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-three million, one hundred two thousand, three hundred one".