Base | Representation |
---|---|
bin | 110010010001011101010011… |
… | …011111001000010011110100 |
3 | 1001222212010222002002122222100 |
4 | 302101131103133020103310 |
5 | 212440013420124201322 |
6 | 2102124511113502100 |
7 | 64400044136543031 |
oct | 6221352337102364 |
9 | 1058763862078870 |
10 | 221102022100212 |
11 | 644a49283a3180 |
12 | 2096b077a11930 |
13 | 964aaa6262586 |
14 | 3c85575b18388 |
15 | 1a865871a1dac |
hex | c917537c84f4 |
221102022100212 has 144 divisors (see below), whose sum is σ = 630745610040000. Its totient is φ = 64688636167680.
The previous prime is 221102022100199. The next prime is 221102022100213. The reversal of 221102022100212 is 212001220201122.
It is a happy number.
221102022100212 is a `hidden beast` number, since 2 + 211 + 0 + 20 + 221 + 0 + 0 + 212 = 666.
221102022100212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2211020221002122 (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).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221102022100213) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507937963 + ... + 508373069.
It is an arithmetic number, because the mean of its divisors is an integer number (4380177847500).
Almost surely, 2221102022100212 is an apocalyptic number.
221102022100212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
221102022100212 is an abundant number, since it is smaller than the sum of its proper divisors (409643587939788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221102022100212 is a wasteful number, since it uses less digits than its factorization.
221102022100212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 479406 (or 479401 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 221102022100212 its reverse (212001220201122), we get a palindrome (433103242301334).
The spelling of 221102022100212 in words is "two hundred twenty-one trillion, one hundred two billion, twenty-two million, one hundred thousand, two hundred twelve".
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