Search a number
-
+
122330041330631 is a prime number
BaseRepresentation
bin11011110100001000101110…
…101010001010101111000111
3121001010122012220121121222212
4123310020232222022233013
5112013223411040040011
61112101351205014035
734524024314543111
oct3364105652125707
9531118186547885
10122330041330631
1135a83974214672
121187846b3b431b
13533489a5c6114
14222cb3c7883b1
15e2214238208b
hex6f422ea8abc7

122330041330631 has 2 divisors, whose sum is σ = 122330041330632. Its totient is φ = 122330041330630.

The previous prime is 122330041330621. The next prime is 122330041330633. The reversal of 122330041330631 is 136033140033221.

It is a strong prime.

It is an emirp because it is prime and its reverse (136033140033221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122330041330631 is a prime.

It is a super-2 number, since 2×1223300413306312 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 122330041330633, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122330041330633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165020665315 + 61165020665316.

It is an arithmetic number, because the mean of its divisors is an integer number (61165020665316).

Almost surely, 2122330041330631 is an apocalyptic number.

122330041330631 is a deficient number, since it is larger than the sum of its proper divisors (1).

122330041330631 is an equidigital number, since it uses as much as digits as its factorization.

122330041330631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 122330041330631 its reverse (136033140033221), we get a palindrome (258363181363852).

The spelling of 122330041330631 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-one million, three hundred thirty thousand, six hundred thirty-one".