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1313112221 is a prime number
BaseRepresentation
bin100111001000100…
…1000000010011101
310101111212000022222
41032101020002131
510142124042341
6334144315125
744353161341
oct11621100235
93344760288
101313112221
11614243713
12307912aa5
1317c0792a5
14c6575621
157a43044b
hex4e44809d

1313112221 has 2 divisors, whose sum is σ = 1313112222. Its totient is φ = 1313112220.

The previous prime is 1313112193. The next prime is 1313112253. The reversal of 1313112221 is 1222113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829728025 + 483384196 = 28805^2 + 21986^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313112221 - 210 = 1313111197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313112271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656556110 + 656556111.

It is an arithmetic number, because the mean of its divisors is an integer number (656556111).

Almost surely, 21313112221 is an apocalyptic number.

It is an amenable number.

1313112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313112221 is an equidigital number, since it uses as much as digits as its factorization.

1313112221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 1313112221 is about 36236.8903329190. The cubic root of 1313112221 is about 1095.0499955627.

Adding to 1313112221 its reverse (1222113131), we get a palindrome (2535225352).

It can be divided in two parts, 13131 and 12221, that added together give a palindrome (25352).

The spelling of 1313112221 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, two hundred twenty-one".