Base | Representation |
---|---|
bin | 100000010101100000101… |
… | …011000101101001100100 |
3 | 21212102200100210222010110 |
4 | 200111200223011221210 |
5 | 242401400210000400 |
6 | 4420454451253020 |
7 | 316354130232210 |
oct | 40254053055144 |
9 | 7772610728113 |
10 | 2222120000100 |
11 | 78743989a500 |
12 | 2ba7b35aa170 |
13 | 13171152c4b0 |
14 | 797a062b940 |
15 | 3cc08385e50 |
hex | 20560ac5a64 |
2222120000100 has 864 divisors, whose sum is σ = 8933355950848. Its totient is φ = 414678528000.
The previous prime is 2222120000083. The next prime is 2222120000101. The reversal of 2222120000100 is 10000212222.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (2222120000101) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122213010 + ... + 122231190.
Almost surely, 22222120000100 is an apocalyptic number.
2222120000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2222120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466677975424).
2222120000100 is an abundant number, since it is smaller than the sum of its proper divisors (6711235950748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222120000100 is a wasteful number, since it uses less digits than its factorization.
2222120000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18277 (or 18259 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 2222120000100 its reverse (10000212222), we get a palindrome (2232120212322).
The spelling of 2222120000100 in words is "two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred", and thus it is an aban number.
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