Search a number
-
+
112022211181 is a prime number
BaseRepresentation
bin110100001010100001…
…0110100101001101101
3101201011000112221121111
41220111002310221231
53313410141224211
6123243504432021
711044005040606
oct1502502645155
9351130487544
10112022211181
1143565688321
1219864018611
13a74344cc7a
1455c99c0dad
152da98e6421
hex1a150b4a6d

112022211181 has 2 divisors, whose sum is σ = 112022211182. Its totient is φ = 112022211180.

The previous prime is 112022211097. The next prime is 112022211193. The reversal of 112022211181 is 181112220211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103356463081 + 8665748100 = 321491^2 + 93090^2 .

It is a cyclic number.

It is not a de Polignac number, because 112022211181 - 231 = 109874727533 is a prime.

It is a super-2 number, since 2×1120222111812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112022211481) 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, 56011105590 + 56011105591.

It is an arithmetic number, because the mean of its divisors is an integer number (56011105591).

Almost surely, 2112022211181 is an apocalyptic number.

It is an amenable number.

112022211181 is a deficient number, since it is larger than the sum of its proper divisors (1).

112022211181 is an equidigital number, since it uses as much as digits as its factorization.

112022211181 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 112022211181 its reverse (181112220211), we get a palindrome (293134431392).

The spelling of 112022211181 in words is "one hundred twelve billion, twenty-two million, two hundred eleven thousand, one hundred eighty-one".