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312303213 = 3234700357
BaseRepresentation
bin10010100111010…
…101111001101101
3210202122122110200
4102213111321231
51114422200323
650553424113
710511350665
oct2247257155
9722578420
10312303213
11150318032
128870b039
134c917b01
142d6971a5
151c63e443
hex129d5e6d

312303213 has 6 divisors (see below), whose sum is σ = 451104654. Its totient is φ = 208202136.

The previous prime is 312303197. The next prime is 312303217.

312303213 is a `hidden beast` number, since 312 + 30 + 321 + 3 = 666.

312303213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 274332969 + 37970244 = 16563^2 + 6162^2 .

It is not a de Polignac number, because 312303213 - 24 = 312303197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312303217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17350170 + ... + 17350187.

It is an arithmetic number, because the mean of its divisors is an integer number (75184109).

Almost surely, 2312303213 is an apocalyptic number.

It is an amenable number.

312303213 is a deficient number, since it is larger than the sum of its proper divisors (138801441).

312303213 is a wasteful number, since it uses less digits than its factorization.

312303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34700363 (or 34700360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312303213 is about 17672.1026762522. The cubic root of 312303213 is about 678.4619310120.

It can be divided in two parts, 31230 and 3213, that added together give a palindrome (34443).

The spelling of 312303213 in words is "three hundred twelve million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 34700357 104101071 312303213