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1122132211169 is a prime number
BaseRepresentation
bin10000010101000100010…
…010101011010111100001
310222021102022201120211112
4100111010102223113201
5121341111321224134
62215300031353105
7144033324263354
oct20250422532741
93867368646745
101122132211169
113a2991419902
12161587982795
1381a8013b308
143c450a2229b
151e2c89e81ce
hex105444ab5e1

1122132211169 has 2 divisors, whose sum is σ = 1122132211170. Its totient is φ = 1122132211168.

The previous prime is 1122132211129. The next prime is 1122132211171. The reversal of 1122132211169 is 9611122312211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961699919569 + 160432291600 = 980663^2 + 400540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122132211169 is a prime.

It is a super-2 number, since 2×11221322111692 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1122132211171, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1122132211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561066105584 + 561066105585.

It is an arithmetic number, because the mean of its divisors is an integer number (561066105585).

Almost surely, 21122132211169 is an apocalyptic number.

It is an amenable number.

1122132211169 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122132211169 is an equidigital number, since it uses as much as digits as its factorization.

1122132211169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 32.

The spelling of 1122132211169 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred eleven thousand, one hundred sixty-nine".