Search a number
-
+
122323032313241 is a prime number
BaseRepresentation
bin11011110100000010001100…
…111000111000110110011001
3121001002222010102220122200012
4123310002030320320312121
5112013120032233010431
61112054231505251305
734523355526066064
oct3364021470706631
9531088112818605
10122323032313241
1135a809a7871111
1211877034033b35
135334021483956
14222c6759618db
15e21d81d8622b
hex6f408ce38d99

122323032313241 has 2 divisors, whose sum is σ = 122323032313242. Its totient is φ = 122323032313240.

The previous prime is 122323032313213. The next prime is 122323032313249. The reversal of 122323032313241 is 142313230323221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96819774807616 + 25503257505625 = 9839704^2 + 5050075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122323032313241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122323032313198 and 122323032313207.

It is not a weakly prime, because it can be changed into another prime (122323032313249) 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, 61161516156620 + 61161516156621.

It is an arithmetic number, because the mean of its divisors is an integer number (61161516156621).

Almost surely, 2122323032313241 is an apocalyptic number.

It is an amenable number.

122323032313241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122323032313241 is an equidigital number, since it uses as much as digits as its factorization.

122323032313241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 122323032313241 its reverse (142313230323221), we get a palindrome (264636262636462).

The spelling of 122323032313241 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, thirty-two million, three hundred thirteen thousand, two hundred forty-one".