Base | Representation |
---|---|
bin | 110010100000000000101101… |
… | …011000000101111010000010 |
3 | 1002010101202100221010000000100 |
4 | 302200000231120011322002 |
5 | 213102410110141213442 |
6 | 2104212144550303230 |
7 | 64532230223360346 |
oct | 6240005530057202 |
9 | 1063352327100010 |
10 | 222102110101122 |
11 | 6484aa80a64499 |
12 | 20ab0a63357b16 |
13 | 96c11a6830154 |
14 | 3cbbb29b0b626 |
15 | 1aa25bb4ec84c |
hex | ca002d605e82 |
222102110101122 has 12 divisors (see below), whose sum is σ = 481221238552470. Its totient is φ = 74034036700368.
The previous prime is 222102110101103. The next prime is 222102110101139. The reversal of 222102110101122 is 221101011201222.
222102110101122 is a `hidden beast` number, since 22 + 210 + 211 + 0 + 101 + 122 = 666.
It can be written as a sum of positive squares in only one way, i.e., 199054823125041 + 23047286976081 = 14108679^2 + 4800759^2 .
It is a super-2 number, since 2×2221021101011222 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12339006116729 = 222102110101122 / (2 + 2 + 2 + 1 + 0 + 2 + 1 + 1 + 0 + 1 + 0 + 1 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 222102110101095 and 222102110101104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6169503058347 + ... + 6169503058382.
Almost surely, 2222102110101122 is an apocalyptic number.
222102110101122 is an abundant number, since it is smaller than the sum of its proper divisors (259119128451348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222102110101122 is a wasteful number, since it uses less digits than its factorization.
222102110101122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12339006116737 (or 12339006116734 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 222102110101122 its reverse (221101011201222), we get a palindrome (443203121302344).
The spelling of 222102110101122 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred ten million, one hundred one thousand, one hundred twenty-two".
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