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218135331 = 3259410801
BaseRepresentation
bin11010000000001…
…11101100100011
3120012110102102100
431000013230203
5421320312311
633351221443
75256056031
oct1500075443
9505412370
10218135331
1110214a337
1261077883
1336266a7b
1420d83551
151423ca56
hexd007b23

218135331 has 12 divisors (see below), whose sum is σ = 320425560. Its totient is φ = 142958400.

The previous prime is 218135311. The next prime is 218135339. The reversal of 218135331 is 133531812.

It is not a de Polignac number, because 218135331 - 226 = 151026467 is a prime.

It is a super-2 number, since 2×2181353312 = 95166045260959122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218135295 and 218135304.

It is not an unprimeable number, because it can be changed into a prime (218135339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204870 + ... + 205931.

It is an arithmetic number, because the mean of its divisors is an integer number (26702130).

Almost surely, 2218135331 is an apocalyptic number.

218135331 is a deficient number, since it is larger than the sum of its proper divisors (102290229).

218135331 is a wasteful number, since it uses less digits than its factorization.

218135331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410866 (or 410863 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 218135331 is about 14769.4052351474. The cubic root of 218135331 is about 601.9706786232.

The spelling of 218135331 in words is "two hundred eighteen million, one hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 3 9 59 177 531 410801 1232403 3697209 24237259 72711777 218135331