Search a number
-
+
2222312331193 is a prime number
BaseRepresentation
bin100000010101101100001…
…000110001011110111001
321212110011202201101210021
4200111230020301132321
5242402243424044233
64420525521450441
7316361654066233
oct40255410613671
97773152641707
102222312331193
11787528414719
122ba847aa0a21
1313174232cc86
14797bbdb5253
153cc1a1c7e2d
hex2056c2317b9

2222312331193 has 2 divisors, whose sum is σ = 2222312331194. Its totient is φ = 2222312331192.

The previous prime is 2222312331149. The next prime is 2222312331293. The reversal of 2222312331193 is 3911332132222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1256174707264 + 966137623929 = 1120792^2 + 982923^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222312331193 - 221 = 2222310234041 is a prime.

It is a super-2 number, since 2×22223123311932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2222312331133) 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, 1111156165596 + 1111156165597.

It is an arithmetic number, because the mean of its divisors is an integer number (1111156165597).

Almost surely, 22222312331193 is an apocalyptic number.

It is an amenable number.

2222312331193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222312331193 is an equidigital number, since it uses as much as digits as its factorization.

2222312331193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The spelling of 2222312331193 in words is "two trillion, two hundred twenty-two billion, three hundred twelve million, three hundred thirty-one thousand, one hundred ninety-three".