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213331041 = 32711437159
BaseRepresentation
bin11001011011100…
…10110001100001
3112212102100011200
430231302301201
5414103043131
633100231413
75200166250
oct1455626141
9485370150
10213331041
11aa468850
125b53b569
13352740b1
1420492797
1513ade2e6
hexcb72c61

213331041 has 48 divisors (see below), whose sum is σ = 393169920. Its totient is φ = 108228960.

The previous prime is 213331037. The next prime is 213331043. The reversal of 213331041 is 140133312.

213331041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213331041 - 22 = 213331037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213331043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26220 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (8191040).

Almost surely, 2213331041 is an apocalyptic number.

213331041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213331041 is a deficient number, since it is larger than the sum of its proper divisors (179838879).

213331041 is a wasteful number, since it uses less digits than its factorization.

213331041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213331041 is about 14605.8563939264. The cubic root of 213331041 is about 597.5184926846.

Adding to 213331041 its reverse (140133312), we get a palindrome (353464353).

The spelling of 213331041 in words is "two hundred thirteen million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 473 693 903 1419 2709 3311 4257 7159 9933 21477 29799 50113 64431 78749 150339 236247 307837 451017 551243 708741 923511 1653729 2154859 2770533 3386207 4961187 6464577 10158621 19393731 23703449 30475863 71110347 213331041