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314313313331 is a prime number
BaseRepresentation
bin1001001001011101000…
…10001000110000110011
31010001022000221200102002
410210232202020300303
520122203202011311
6400221001044215
731464656036663
oct4445642106063
91101260850362
10314313313331
11111332742476
1250abaa8666b
132384131a294
14112da0961a3
15829908093b
hex492e888c33

314313313331 has 2 divisors, whose sum is σ = 314313313332. Its totient is φ = 314313313330.

The previous prime is 314313313319. The next prime is 314313313427. The reversal of 314313313331 is 133313313413.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314313313331 is a prime.

It is a super-2 number, since 2×3143133133312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314313313294 and 314313313303.

It is not a weakly prime, because it can be changed into another prime (314316313331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157156656665 + 157156656666.

It is an arithmetic number, because the mean of its divisors is an integer number (157156656666).

Almost surely, 2314313313331 is an apocalyptic number.

314313313331 is a deficient number, since it is larger than the sum of its proper divisors (1).

314313313331 is an equidigital number, since it uses as much as digits as its factorization.

314313313331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 29.

Adding to 314313313331 its reverse (133313313413), we get a palindrome (447626626744).

The spelling of 314313313331 in words is "three hundred fourteen billion, three hundred thirteen million, three hundred thirteen thousand, three hundred thirty-one".