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112221102020113 is a prime number
BaseRepresentation
bin11001100001000010000010…
…111011000001011000010001
3112201100020021112212000020001
4121201002002323001120101
5104202112304104120423
61034401355040250001
732431464344264302
oct3141020273013021
9481306245760201
10112221102020113
113283677a546219
1210705250010901
134a80534939918
141d9d75d2a07a9
15ce91dd514cad
hex661082ec1611

112221102020113 has 2 divisors, whose sum is σ = 112221102020114. Its totient is φ = 112221102020112.

The previous prime is 112221102020047. The next prime is 112221102020201. The reversal of 112221102020113 is 311020201122211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66579349586689 + 45641752433424 = 8159617^2 + 6755868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112221102020113 is a prime.

It is a super-2 number, since 2×1122211020201132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112221102027113) 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, 56110551010056 + 56110551010057.

It is an arithmetic number, because the mean of its divisors is an integer number (56110551010057).

Almost surely, 2112221102020113 is an apocalyptic number.

It is an amenable number.

112221102020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112221102020113 is an equidigital number, since it uses as much as digits as its factorization.

112221102020113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 112221102020113 its reverse (311020201122211), we get a palindrome (423241303142324).

The spelling of 112221102020113 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred two million, twenty thousand, one hundred thirteen".