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113322112181 is a prime number
BaseRepresentation
bin110100110001010000…
…1100011010010110101
3101211111121112202112222
41221202201203102311
53324040430042211
6124020502052125
711121141026465
oct1514241432265
9354447482488
10113322112181
1144072418173
1219b6741a045
13a8bc851b65
1456b04b7ba5
152e33ab71db
hex1a628634b5

113322112181 has 2 divisors, whose sum is σ = 113322112182. Its totient is φ = 113322112180.

The previous prime is 113322112157. The next prime is 113322112223. The reversal of 113322112181 is 181211223311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96282987025 + 17039125156 = 310295^2 + 130534^2 .

It is a cyclic number.

It is not a de Polignac number, because 113322112181 - 26 = 113322112117 is a prime.

It is a super-2 number, since 2×1133221121812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113322112181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113322112481) 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, 56661056090 + 56661056091.

It is an arithmetic number, because the mean of its divisors is an integer number (56661056091).

Almost surely, 2113322112181 is an apocalyptic number.

It is an amenable number.

113322112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

113322112181 is an equidigital number, since it uses as much as digits as its factorization.

113322112181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 26.

Adding to 113322112181 its reverse (181211223311), we get a palindrome (294533335492).

The spelling of 113322112181 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred twelve thousand, one hundred eighty-one".