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224042013317 is a prime number
BaseRepresentation
bin1101000010100111110…
…0011101001010000101
3210102021212120111122002
43100221330131022011
512132314223411232
6250531245515045
722120653456203
oct3205174351205
9712255514562
10224042013317
118701996a6a1
1237507272a85
1318186238565
14abb5136073
155c63eb3b62
hex3429f1d285

224042013317 has 2 divisors, whose sum is σ = 224042013318. Its totient is φ = 224042013316.

The previous prime is 224042013203. The next prime is 224042013319. The reversal of 224042013317 is 713310240422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170825982721 + 53216030596 = 413311^2 + 230686^2 .

It is a cyclic number.

It is not a de Polignac number, because 224042013317 - 28 = 224042013061 is a prime.

It is a super-2 number, since 2×2240420133172 (a number of 24 digits) contains 22 as substring.

Together with 224042013319, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224042013317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (224042013319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112021006658 + 112021006659.

It is an arithmetic number, because the mean of its divisors is an integer number (112021006659).

Almost surely, 2224042013317 is an apocalyptic number.

It is an amenable number.

224042013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

224042013317 is an equidigital number, since it uses as much as digits as its factorization.

224042013317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 224042013317 its reverse (713310240422), we get a palindrome (937352253739).

The spelling of 224042013317 in words is "two hundred twenty-four billion, forty-two million, thirteen thousand, three hundred seventeen".