Base | Representation |
---|---|
bin | 11011110000110100011100… |
… | …010111001111010110011100 |
3 | 121000022211212100212210021100 |
4 | 123300310130113033112130 |
5 | 112001010100341042340 |
6 | 1111404533023033100 |
7 | 34501404614626305 |
oct | 3360643427172634 |
9 | 530284770783240 |
10 | 122102101112220 |
11 | 359a6234978879 |
12 | 1184025673b790 |
13 | 531924288a938 |
14 | 2221ab7a397ac |
15 | e1b251054830 |
hex | 6f0d1c5cf59c |
122102101112220 has 36 divisors (see below), whose sum is σ = 370376373374280. Its totient is φ = 32560560296544.
The previous prime is 122102101112203. The next prime is 122102101112267. The reversal of 122102101112220 is 22211101201221.
122102101112220 is a `hidden beast` number, since 1 + 2 + 210 + 210 + 11 + 12 + 220 = 666.
122102101112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1221021011122202 (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 junction number, because it is equal to n+sod(n) for n = 122102101112193 and 122102101112202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339172502910 + ... + 339172503269.
It is an arithmetic number, because the mean of its divisors is an integer number (10288232593730).
Almost surely, 2122102101112220 is an apocalyptic number.
122102101112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122102101112220 is an abundant number, since it is smaller than the sum of its proper divisors (248274272262060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122102101112220 is a wasteful number, since it uses less digits than its factorization.
122102101112220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 678345006194 (or 678345006189 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 122102101112220 its reverse (22211101201221), we get a palindrome (144313202313441).
The spelling of 122102101112220 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred one million, one hundred twelve thousand, two hundred twenty".
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