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211022023300218 = 232131697531410441
BaseRepresentation
bin101111111110110001100100…
…101111010001010001111010
31000200011111201122000022020200
4233332301210233101101322
5210124341100431101333
62024450102412503030
762306560312462404
oct5776614457212172
91020144648008220
10211022023300218
1161268a34902719
121b80159477aa76
1390993a3302510
143a17740083b74
15195e278e2ac13
hexbfec64bd147a

211022023300218 has 48 divisors (see below), whose sum is σ = 492674872061736. Its totient is φ = 64891591649280.

The previous prime is 211022023300199. The next prime is 211022023300229. The reversal of 211022023300218 is 812003320220112.

211022023300218 is a `hidden beast` number, since 2 + 1 + 102 + 20 + 23 + 300 + 218 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175597826276889 + 35424197023329 = 13251333^2 + 5951823^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211022023300191 and 211022023300200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265308123 + ... + 266102318.

Almost surely, 2211022023300218 is an apocalyptic number.

211022023300218 is an abundant number, since it is smaller than the sum of its proper divisors (281652848761518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211022023300218 is a wasteful number, since it uses less digits than its factorization.

211022023300218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531412159 (or 531412156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 211022023300218 in words is "two hundred eleven trillion, twenty-two billion, twenty-three million, three hundred thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1697 3394 5091 10182 15273 22061 30546 44122 66183 132366 198549 397098 531410441 1062820882 1594231323 3188462646 4782693969 6908335733 9565387938 13816671466 20725007199 41450014398 62175021597 124350043194 901803518377 1803607036754 2705410555131 5410821110262 8116231665393 11723445738901 16232463330786 23446891477802 35170337216703 70340674433406 105511011650109 211022023300218