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112212111041 is a prime number
BaseRepresentation
bin110100010000001011…
…1001110111011000001
3101201122020212212020122
41220200113032323001
53314302300023131
6123314410550025
711051502130532
oct1504027167301
9351566785218
10112212111041
11436528a1958
12198b7738315
13a7738abc54
145606cd4689
152dbb407d7b
hex1a205ceec1

112212111041 has 2 divisors, whose sum is σ = 112212111042. Its totient is φ = 112212111040.

The previous prime is 112212110939. The next prime is 112212111043. The reversal of 112212111041 is 140111212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105627600016 + 6584511025 = 325004^2 + 81145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112212111041 is a prime.

It is a Sophie Germain prime.

Together with 112212111043, 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 (112212111043) 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, 56106055520 + 56106055521.

It is an arithmetic number, because the mean of its divisors is an integer number (56106055521).

Almost surely, 2112212111041 is an apocalyptic number.

It is an amenable number.

112212111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212111041 is an equidigital number, since it uses as much as digits as its factorization.

112212111041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112212111041 its reverse (140111212211), we get a palindrome (252323323252).

The spelling of 112212111041 in words is "one hundred twelve billion, two hundred twelve million, one hundred eleven thousand, forty-one".