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112211212081 is a prime number
BaseRepresentation
bin110100010000001001…
…1110011011100110001
3101201122012012012002211
41220200103303130301
53314302032241311
6123314335412121
711051461364623
oct1504023633461
9351565165084
10112211212081
1143652338511
12198b7384041
13a773655a17
145606b3cc13
152dbb2cb821
hex1a204f3731

112211212081 has 2 divisors, whose sum is σ = 112211212082. Its totient is φ = 112211212080.

The previous prime is 112211212039. The next prime is 112211212103. The reversal of 112211212081 is 180212112211.

It is a happy number.

It is an a-pointer prime, because the next prime (112211212103) can be obtained adding 112211212081 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91319400481 + 20891811600 = 302191^2 + 144540^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211212081 - 27 = 112211211953 is a prime.

It is a super-2 number, since 2×1122112120812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112211210081) 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, 56105606040 + 56105606041.

It is an arithmetic number, because the mean of its divisors is an integer number (56105606041).

Almost surely, 2112211212081 is an apocalyptic number.

It is an amenable number.

112211212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211212081 is an equidigital number, since it uses as much as digits as its factorization.

112211212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 112211212081 its reverse (180212112211), we get a palindrome (292423324292).

The spelling of 112211212081 in words is "one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, eighty-one".