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222121110112101 = 321737101388485941
BaseRepresentation
bin110010100000010010011001…
…110111011000011101100101
31002010110120102001222120012200
4302200102121313120131211
5213103213013142041401
62104225010154405113
764533502113660354
oct6240223167303545
91063416361876180
10222121110112101
1164858040a77a02
1220ab4686430799
1396c2c13ca28b5
143cbca0d28999b
151aa2d2e58a686
hexca0499dd8765

222121110112101 has 48 divisors (see below), whose sum is σ = 352350533618928. Its totient is φ = 134260740864000.

The previous prime is 222121110112073. The next prime is 222121110112103. The reversal of 222121110112101 is 101211011121222.

It is a happy number.

222121110112101 is a `hidden beast` number, since 2 + 221 + 211 + 10 + 11 + 210 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164884244207076 + 57236865905025 = 12840726^2 + 7565505^2 .

It is not a de Polignac number, because 222121110112101 - 27 = 222121110111973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121110112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193671210 + ... + 194814731.

It is an arithmetic number, because the mean of its divisors is an integer number (7340636117061).

Almost surely, 2222121110112101 is an apocalyptic number.

It is an amenable number.

222121110112101 is a deficient number, since it is larger than the sum of its proper divisors (130229423506827).

222121110112101 is a wasteful number, since it uses less digits than its factorization.

222121110112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388486102 (or 388486099 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 222121110112101 its reverse (101211011121222), we get a palindrome (323332121233323).

The spelling of 222121110112101 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 9 17 37 51 101 111 153 303 333 629 909 1717 1887 3737 5151 5661 11211 15453 33633 63529 190587 571761 388485941 1165457823 3496373469 6604260997 14373979817 19812782991 39237080041 43121939451 59438348973 117711240123 129365818353 244357656889 353133720369 667030360697 733072970667 1451771961517 2001091082091 2199218912001 4355315884551 6003273246273 13065947653653 24680123345789 74040370037367 222121110112101