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122023122300337 is a prime number
BaseRepresentation
bin11011101111101010111000…
…110110111110110110110001
3121000001022000012022110000111
4123233222320312332312301
5111443211323302102322
61111304352025021321
734462610503043446
oct3357527066766661
9530038005273014
10122023122300337
1135975796447515
1211828a94924841
1353119671a115b
14221bd447659cd
15e1917c550177
hex6efab8dbedb1

122023122300337 has 2 divisors, whose sum is σ = 122023122300338. Its totient is φ = 122023122300336.

The previous prime is 122023122300139. The next prime is 122023122300341. The reversal of 122023122300337 is 733003221320221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82376970782976 + 39646151517361 = 9076176^2 + 6296519^2 .

It is a cyclic number.

It is not a de Polignac number, because 122023122300337 - 211 = 122023122298289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122023122300299 and 122023122300308.

It is not a weakly prime, because it can be changed into another prime (122023122303337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61011561150168 + 61011561150169.

It is an arithmetic number, because the mean of its divisors is an integer number (61011561150169).

Almost surely, 2122023122300337 is an apocalyptic number.

It is an amenable number.

122023122300337 is a deficient number, since it is larger than the sum of its proper divisors (1).

122023122300337 is an equidigital number, since it uses as much as digits as its factorization.

122023122300337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 31.

Adding to 122023122300337 its reverse (733003221320221), we get a palindrome (855026343620558).

The spelling of 122023122300337 in words is "one hundred twenty-two trillion, twenty-three billion, one hundred twenty-two million, three hundred thousand, three hundred thirty-seven".