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202210112011221 = 354319352101829
BaseRepresentation
bin101101111110100010110101…
…111001010111101111010101
3222111222002122101021222200000
4231332202311321113233111
5203001002302133324341
61554022013144041513
760410125036411056
oct5576426571275725
9874862571258600
10202210112011221
1159480910694aa6
121a819811463299
1388aa440aba4c2
1437d104355472d
151859e381278b6
hexb7e8b5e57bd5

202210112011221 has 24 divisors (see below), whose sum is σ = 309943262909280. Its totient is φ = 131671700837712.

The previous prime is 202210112011169. The next prime is 202210112011231. The reversal of 202210112011221 is 122110211012202.

202210112011221 is a `hidden beast` number, since 20 + 2 + 210 + 11 + 201 + 1 + 221 = 666.

It is not a de Polignac number, because 202210112011221 - 214 = 202210111994837 is a prime.

It is a super-3 number, since 3×2022101120112213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202210112011194 and 202210112011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202210112011231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9676040466 + ... + 9676061363.

It is an arithmetic number, because the mean of its divisors is an integer number (12914302621220).

Almost surely, 2202210112011221 is an apocalyptic number.

It is an amenable number.

202210112011221 is a deficient number, since it is larger than the sum of its proper divisors (107733150898059).

202210112011221 is an equidigital number, since it uses as much as digits as its factorization.

202210112011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352101887 (or 19352101875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202210112011221 its reverse (122110211012202), we get a palindrome (324320323023423).

The spelling of 202210112011221 in words is "two hundred two trillion, two hundred ten billion, one hundred twelve million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 10449 19352101829 58056305487 174168916461 522506749383 832140378647 1567520248149 2496421135941 4702560744447 7489263407823 22467790223469 67403370670407 202210112011221