Base | Representation |
---|---|
bin | 1010000110000110111010… |
… | …01001000011000010101101 |
3 | 2220121022100012212120201200 |
4 | 11003003131021003002231 |
5 | 10402211301341402341 |
6 | 115114330300400113 |
7 | 4450622126011641 |
oct | 503033511030255 |
9 | 86538305776650 |
10 | 22200101122221 |
11 | 708a012367700 |
12 | 25a6640b46039 |
13 | c505caab17b9 |
14 | 56a6c23d2c21 |
15 | 28772010edb6 |
hex | 1430dd2430ad |
22200101122221 has 144 divisors (see below), whose sum is σ = 37549096673088. Its totient is φ = 12611297825280.
The previous prime is 22200101122159. The next prime is 22200101122261. The reversal of 22200101122221 is 12222110100222.
It is a happy number.
22200101122221 is a `hidden beast` number, since 2 + 220 + 0 + 101 + 122 + 221 = 666.
It is not a de Polignac number, because 22200101122221 - 211 = 22200101120173 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 22200101122194 and 22200101122203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22200101122261) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126391966 + ... + 126567488.
Almost surely, 222200101122221 is an apocalyptic number.
It is an amenable number.
22200101122221 is a deficient number, since it is larger than the sum of its proper divisors (15348995550867).
22200101122221 is a wasteful number, since it uses less digits than its factorization.
22200101122221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175704 (or 175690 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 22200101122221 its reverse (12222110100222), we get a palindrome (34422211222443).
It can be divided in two parts, 22200101 and 122221, that added together give a palindrome (22322322).
The spelling of 22200101122221 in words is "twenty-two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-one".
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