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122024034337 is a prime number
BaseRepresentation
bin111000110100100110…
…0110000000000100001
3102122222001202012122011
41301221030300000201
53444401123044322
6132020154312521
711546604115102
oct1615114600041
9378861665564
10122024034337
1147828428077
121b795728741
13b67862821a
145c9809a3a9
153292a14677
hex1c69330021

122024034337 has 2 divisors, whose sum is σ = 122024034338. Its totient is φ = 122024034336.

The previous prime is 122024034311. The next prime is 122024034361. The reversal of 122024034337 is 733430420221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67286284816 + 54737749521 = 259396^2 + 233961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122024034337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122024034299 and 122024034308.

It is not a weakly prime, because it can be changed into another prime (122024034637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61012017168 + 61012017169.

It is an arithmetic number, because the mean of its divisors is an integer number (61012017169).

Almost surely, 2122024034337 is an apocalyptic number.

It is an amenable number.

122024034337 is a deficient number, since it is larger than the sum of its proper divisors (1).

122024034337 is an equidigital number, since it uses as much as digits as its factorization.

122024034337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 31.

Adding to 122024034337 its reverse (733430420221), we get a palindrome (855454454558).

The spelling of 122024034337 in words is "one hundred twenty-two billion, twenty-four million, thirty-four thousand, three hundred thirty-seven".