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312202213 = 13116314621
BaseRepresentation
bin10010100110111…
…101001111100101
3210202110111220221
4102212331033211
51114410432323
650551324341
710510450351
oct2246751745
9722414827
10312202213
11150259164
12886806b1
134c8b0b4b
142d66c461
151c61e55d
hex129bd3e5

312202213 has 8 divisors (see below), whose sum is σ = 316537056. Its totient is φ = 307897200.

The previous prime is 312202169. The next prime is 312202223.

312202213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312202213 - 213 = 312194021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312202223) 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 7 ways as a sum of consecutive naturals, for example, 14043 + ... + 28663.

It is an arithmetic number, because the mean of its divisors is an integer number (39567132).

Almost surely, 2312202213 is an apocalyptic number.

It is an amenable number.

312202213 is a deficient number, since it is larger than the sum of its proper divisors (4334843).

312202213 is a wasteful number, since it uses less digits than its factorization.

312202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312202213 is about 17669.2448338915. The cubic root of 312202213 is about 678.3887841038.

It can be divided in two parts, 31220 and 2213, that added together give a palindrome (33433).

The spelling of 312202213 in words is "three hundred twelve million, two hundred two thousand, two hundred thirteen".

Divisors: 1 131 163 14621 21353 1915351 2383223 312202213