Base | Representation |
---|---|
bin | 1010000011001100011111… |
… | …11110010101110100010110 |
3 | 2220020202000112202200212100 |
4 | 11001212033332111310112 |
5 | 10344041321142101402 |
6 | 115000335434302530 |
7 | 4440450103260636 |
oct | 501461776256426 |
9 | 86222015680770 |
10 | 22100022222102 |
11 | 70506264417a0 |
12 | 258b170887a46 |
13 | c4403bb384c6 |
14 | 56590aab46c6 |
15 | 284d13edc71c |
hex | 14198ff95d16 |
22100022222102 has 48 divisors (see below), whose sum is σ = 52424995411152. Its totient is φ = 6672799604160.
The previous prime is 22100022222017. The next prime is 22100022222107. The reversal of 22100022222102 is 20122222000122.
22100022222102 is a `hidden beast` number, since 221 + 0 + 0 + 0 + 222 + 221 + 0 + 2 = 666.
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 (22100022222107) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201418573 + ... + 201528264.
It is an arithmetic number, because the mean of its divisors is an integer number (1092187404399).
Almost surely, 222100022222102 is an apocalyptic number.
22100022222102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22100022222102 is an abundant number, since it is smaller than the sum of its proper divisors (30324973189050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22100022222102 is a wasteful number, since it uses less digits than its factorization.
22100022222102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402947133 (or 402947130 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22100022222102 its reverse (20122222000122), we get a palindrome (42222244222224).
The spelling of 22100022222102 in words is "twenty-two trillion, one hundred billion, twenty-two million, two hundred twenty-two thousand, one hundred two".
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