Base | Representation |
---|---|
bin | 11101001000111010111… |
… | …11001111101100110000 |
3 | 10112201022220001001020101 |
4 | 32210131133033230300 |
5 | 112401000330010000 |
6 | 2043542144322144 |
7 | 132223134341650 |
oct | 16443537175460 |
9 | 3481286031211 |
10 | 1001222110000 |
11 | 356685863262 |
12 | 142063313354 |
13 | 73551531958 |
14 | 36660890360 |
15 | 1b09dbbce6a |
hex | e91d7cfb30 |
1001222110000 has 200 divisors, whose sum is σ = 2788729121024. Its totient is φ = 340999200000.
The previous prime is 1001222109997. The next prime is 1001222110019. The reversal of 1001222110000 is 112221001.
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10522639 + ... + 10617361.
Almost surely, 21001222110000 is an apocalyptic number.
1001222110000 is a gapful number since it is divisible by the number (10) 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 1001222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394364560512).
1001222110000 is an abundant number, since it is smaller than the sum of its proper divisors (1787507011024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001222110000 is an equidigital number, since it uses as much as digits as its factorization.
1001222110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 94909 (or 94888 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 1001222110000 its reverse (112221001), we get a palindrome (1001334331001).
It can be divided in two parts, 100122 and 2110000, that added together give a palindrome (2210122).
The spelling of 1001222110000 in words is "one trillion, one billion, two hundred twenty-two million, one hundred ten thousand".
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