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2312221313 is a prime number
BaseRepresentation
bin1000100111010001…
…1011001010000001
312222010212000100102
42021310123022001
514213412040223
61021234532145
7111204362003
oct21164331201
95863760312
102312221313
11a87209106
12546437055
132ab063abc
1417d130373
15d7ed7928
hex89d1b281

2312221313 has 2 divisors, whose sum is σ = 2312221314. Its totient is φ = 2312221312.

The previous prime is 2312221291. The next prime is 2312221333. The reversal of 2312221313 is 3131222132.

It is an a-pointer prime, because the next prime (2312221333) can be obtained adding 2312221313 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1355123344 + 957097969 = 36812^2 + 30937^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312221313 - 224 = 2295444097 is a prime.

It is a super-3 number, since 3×23122213133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2312221333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156110656 + 1156110657.

It is an arithmetic number, because the mean of its divisors is an integer number (1156110657).

Almost surely, 22312221313 is an apocalyptic number.

It is an amenable number.

2312221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312221313 is an equidigital number, since it uses as much as digits as its factorization.

2312221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 2312221313 is about 48085.5624174242. The cubic root of 2312221313 is about 1322.3399940544.

Adding to 2312221313 its reverse (3131222132), we get a palindrome (5443443445).

The spelling of 2312221313 in words is "two billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirteen".