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122131123319 is a prime number
BaseRepresentation
bin111000110111110010…
…1010000110001110111
3102200020112020220002202
41301233211100301313
54000111031421234
6132034541455115
711552344263632
oct1615745206167
9380215226082
10122131123319
1147882920667
121b80557149b
13b69488159a
145ca83b4c19
15329c11977e
hex1c6f950c77

122131123319 has 2 divisors, whose sum is σ = 122131123320. Its totient is φ = 122131123318.

The previous prime is 122131123307. The next prime is 122131123337. The reversal of 122131123319 is 913321131221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122131123319 - 28 = 122131123063 is a prime.

It is a super-2 number, since 2×1221311233192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122131123291 and 122131123300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131123349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065561659 + 61065561660.

It is an arithmetic number, because the mean of its divisors is an integer number (61065561660).

Almost surely, 2122131123319 is an apocalyptic number.

122131123319 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131123319 is an equidigital number, since it uses as much as digits as its factorization.

122131123319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The spelling of 122131123319 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred nineteen".