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4314412313 is a prime number
BaseRepresentation
bin1000000010010100…
…01011010100011001
3102010200022212001122
410001022023110121
532313442143223
61552040455025
7211625620361
oct40112132431
912120285048
104314412313
111914411912
12a04a7a475
13539ac74c3
142ccdd99a1
151a3b7e5c8
hex10128b519

4314412313 has 2 divisors, whose sum is σ = 4314412314. Its totient is φ = 4314412312.

The previous prime is 4314412301. The next prime is 4314412351. The reversal of 4314412313 is 3132144134.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2238425344 + 2075986969 = 47312^2 + 45563^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314412313 - 220 = 4313363737 is a prime.

It is a super-2 number, since 2×43144123132 = 37228307213132019938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4314412363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157206156 + 2157206157.

It is an arithmetic number, because the mean of its divisors is an integer number (2157206157).

Almost surely, 24314412313 is an apocalyptic number.

It is an amenable number.

4314412313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314412313 is an equidigital number, since it uses as much as digits as its factorization.

4314412313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 26.

The square root of 4314412313 is about 65684.1861714066. The cubic root of 4314412313 is about 1627.9480764338.

Adding to 4314412313 its reverse (3132144134), we get a palindrome (7446556447).

The spelling of 4314412313 in words is "four billion, three hundred fourteen million, four hundred twelve thousand, three hundred thirteen".