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320412213 = 33112937201
BaseRepresentation
bin10011000110010…
…001101000110101
3211022220121221000
4103012101220311
51124011142323
651443313513
710640313252
oct2306215065
9738817830
10320412213
11154956490
128b37b899
13514c6a34
14307a8429
151d1e1e43
hex13191a35

320412213 has 32 divisors (see below), whose sum is σ = 535708800. Its totient is φ = 187488000.

The previous prime is 320412203. The next prime is 320412227. The reversal of 320412213 is 312214023.

It is not a de Polignac number, because 320412213 - 28 = 320411957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320412203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9988 + ... + 27213.

It is an arithmetic number, because the mean of its divisors is an integer number (16740900).

Almost surely, 2320412213 is an apocalyptic number.

320412213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320412213 is a deficient number, since it is larger than the sum of its proper divisors (215296587).

320412213 is a wasteful number, since it uses less digits than its factorization.

320412213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37250 (or 37244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 320412213 is about 17900.0618155357. The cubic root of 320412213 is about 684.2839502817.

Adding to 320412213 its reverse (312214023), we get a palindrome (632626236).

The spelling of 320412213 in words is "three hundred twenty million, four hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 37201 111603 334809 409211 1004427 1078829 1227633 3236487 3682899 9709461 11048697 11867119 29128383 35601357 106804071 320412213