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113311113281 is a prime number
BaseRepresentation
bin110100110000111011…
…1100110000001000001
3101211110211211221220022
41221201313212001001
53324030121111111
6124015430223225
711120645366642
oct1514167460101
9354424757808
10113311113281
1144067195573
1219b637b4b15
13a8ba4a0732
1456acc536c9
152e32b432db
hex1a61de6041

113311113281 has 2 divisors, whose sum is σ = 113311113282. Its totient is φ = 113311113280.

The previous prime is 113311113259. The next prime is 113311113313. The reversal of 113311113281 is 182311113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110393385025 + 2917728256 = 332255^2 + 54016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113311113281 is a prime.

It is a super-4 number, since 4×1133111132814 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 113311113281.

It is not a weakly prime, because it can be changed into another prime (113311113211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56655556640 + 56655556641.

It is an arithmetic number, because the mean of its divisors is an integer number (56655556641).

Almost surely, 2113311113281 is an apocalyptic number.

It is an amenable number.

113311113281 is a deficient number, since it is larger than the sum of its proper divisors (1).

113311113281 is an equidigital number, since it uses as much as digits as its factorization.

113311113281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 26.

Adding to 113311113281 its reverse (182311113311), we get a palindrome (295622226592).

The spelling of 113311113281 in words is "one hundred thirteen billion, three hundred eleven million, one hundred thirteen thousand, two hundred eighty-one".