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312213329 is a prime number
BaseRepresentation
bin10010100110111…
…111111101010001
3210202111002011122
4102212333331101
51114411311304
650551452025
710510524641
oct2246777521
9722432148
10312213329
1115026654a
1288687015
134c8b5c1c
142d672521
151c6229be
hex129bff51

312213329 has 2 divisors, whose sum is σ = 312213330. Its totient is φ = 312213328.

The previous prime is 312213323. The next prime is 312213353. The reversal of 312213329 is 923312213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307195729 + 5017600 = 17527^2 + 2240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312213329 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312213298 and 312213307.

It is not a weakly prime, because it can be changed into another prime (312213323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106664 + 156106665.

It is an arithmetic number, because the mean of its divisors is an integer number (156106665).

Almost surely, 2312213329 is an apocalyptic number.

It is an amenable number.

312213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213329 is an equidigital number, since it uses as much as digits as its factorization.

312213329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 312213329 is about 17669.5593889604. The cubic root of 312213329 is about 678.3968353816.

The spelling of 312213329 in words is "three hundred twelve million, two hundred thirteen thousand, three hundred twenty-nine".