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122354041013 is a prime number
BaseRepresentation
bin111000111110011011…
…1101000000010110101
3102200211001201021200122
41301330313220002311
54001040113303023
6132113023421325
711561022121511
oct1617467500265
9380731637618
10122354041013
1147987736a66
121b868154845
13b6cbb01049
145cc9c41141
1532b199e2c8
hex1c7cde80b5

122354041013 has 2 divisors, whose sum is σ = 122354041014. Its totient is φ = 122354041012.

The previous prime is 122354041009. The next prime is 122354041031. The reversal of 122354041013 is 310140453221.

It is a happy number.

Together with next prime (122354041031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122333456644 + 20584369 = 349762^2 + 4537^2 .

It is a cyclic number.

It is not a de Polignac number, because 122354041013 - 22 = 122354041009 is a prime.

It is a super-2 number, since 2×1223540410132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122354041213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61177020506 + 61177020507.

It is an arithmetic number, because the mean of its divisors is an integer number (61177020507).

Almost surely, 2122354041013 is an apocalyptic number.

It is an amenable number.

122354041013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122354041013 is an equidigital number, since it uses as much as digits as its factorization.

122354041013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 122354041013 its reverse (310140453221), we get a palindrome (432494494234).

The spelling of 122354041013 in words is "one hundred twenty-two billion, three hundred fifty-four million, forty-one thousand, thirteen".