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1122122111113 is a prime number
BaseRepresentation
bin10000010101000011101…
…100001001100010001001
310222021101121201110011101
4100111003230021202021
5121341101230023423
62215255031101401
7144033142366213
oct20250354114211
93867347643141
101122122111113
113a2986750553
12161584511861
1381a7b013053
143c44d5535b3
151e2c7ba07ad
hex10543b09889

1122122111113 has 2 divisors, whose sum is σ = 1122122111114. Its totient is φ = 1122122111112.

The previous prime is 1122122111027. The next prime is 1122122111161. The reversal of 1122122111113 is 3111112212211.

It is a m-pointer prime, because the next prime (1122122111161) can be obtained adding 1122122111113 to its product of digits (48).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 650816519824 + 471305591289 = 806732^2 + 686517^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122122111113 - 221 = 1122120013961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1122122117113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561061055556 + 561061055557.

It is an arithmetic number, because the mean of its divisors is an integer number (561061055557).

Almost surely, 21122122111113 is an apocalyptic number.

It is an amenable number.

1122122111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122122111113 is an equidigital number, since it uses as much as digits as its factorization.

1122122111113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 19.

Adding to 1122122111113 its reverse (3111112212211), we get a palindrome (4233234323324).

It can be divided in two parts, 1122122 and 111113, that added together give a triangular number (1233235 = T1570).

The spelling of 1122122111113 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirteen".