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312800669 is a prime number
BaseRepresentation
bin10010101001001…
…111010110011101
3210210120220211222
4102221033112131
51120034110134
651012223125
710515522206
oct2251172635
9723526758
10312800669
11150627855
128890aaa5
134ca6036c
142d7865ad
151c6dba2e
hex12a4f59d

312800669 has 2 divisors, whose sum is σ = 312800670. Its totient is φ = 312800668.

The previous prime is 312800599. The next prime is 312800671. The reversal of 312800669 is 966008213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219928900 + 92871769 = 14830^2 + 9637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312800669 is a prime.

It is a super-2 number, since 2×3128006692 = 195688517053695122, which contains 22 as substring.

Together with 312800671, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312800569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156400334 + 156400335.

It is an arithmetic number, because the mean of its divisors is an integer number (156400335).

Almost surely, 2312800669 is an apocalyptic number.

It is an amenable number.

312800669 is a deficient number, since it is larger than the sum of its proper divisors (1).

312800669 is an equidigital number, since it uses as much as digits as its factorization.

312800669 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 312800669 is about 17686.1716886386. The cubic root of 312800669 is about 678.8219720481.

The spelling of 312800669 in words is "three hundred twelve million, eight hundred thousand, six hundred sixty-nine".