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122111111113 is a prime number
BaseRepresentation
bin111000110111001100…
…0111010111111001001
3102200012010121011111221
41301232120322333021
54000040421023423
6132032544522041
711552012214205
oct1615630727711
9380163534457
10122111111113
11478725a2152
121b7ba920321
13b690695744
145ca5885b05
15329a4b4e5d
hex1c6e63afc9

122111111113 has 2 divisors, whose sum is σ = 122111111114. Its totient is φ = 122111111112.

The previous prime is 122111111071. The next prime is 122111111149. The reversal of 122111111113 is 311111111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84464634384 + 37646476729 = 290628^2 + 194027^2 .

It is an emirp because it is prime and its reverse (311111111221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111111113 is a prime.

It is a super-2 number, since 2×1221111111132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111171113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055555556 + 61055555557.

It is an arithmetic number, because the mean of its divisors is an integer number (61055555557).

Almost surely, 2122111111113 is an apocalyptic number.

It is an amenable number.

122111111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111111113 is an equidigital number, since it uses as much as digits as its factorization.

122111111113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 16.

Adding to 122111111113 its reverse (311111111221), we get a palindrome (433222222334).

The spelling of 122111111113 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred thirteen".