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2231313181 is a prime number
BaseRepresentation
bin1000010011111111…
…0010001100011101
312202111121110020221
42010333302030131
514032204010211
61005224441341
7106202564146
oct20477621435
95674543227
102231313181
11a45577689
12523319251
13297376276
141724acacd
15d0d54c71
hex84ff231d

2231313181 has 2 divisors, whose sum is σ = 2231313182. Its totient is φ = 2231313180.

The previous prime is 2231313173. The next prime is 2231313187. The reversal of 2231313181 is 1813131322.

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., 1213128900 + 1018184281 = 34830^2 + 31909^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231313181 - 23 = 2231313173 is a prime.

It is a super-3 number, since 3×22313131813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231313187) 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, 1115656590 + 1115656591.

It is an arithmetic number, because the mean of its divisors is an integer number (1115656591).

Almost surely, 22231313181 is an apocalyptic number.

It is an amenable number.

2231313181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231313181 is an equidigital number, since it uses as much as digits as its factorization.

2231313181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 2231313181 is about 47236.7778431171. Note that the first 3 decimals coincide. The cubic root of 2231313181 is about 1306.7329543096.

The spelling of 2231313181 in words is "two billion, two hundred thirty-one million, three hundred thirteen thousand, one hundred eighty-one".