| Base | Representation |
|---|---|
| bin | 110011110010101001… |
| … | …0011100111100010000 |
| 3 | 101122002011221022020101 |
| 4 | 1213211102130330100 |
| 5 | 3310240034031000 |
| 6 | 123032204022144 |
| 7 | 11015105630023 |
| oct | 1474522347420 |
| 9 | 348064838211 |
| 10 | 111221002000 |
| 11 | 431943a0a79 |
| 12 | 1967b831954 |
| 13 | a6464658b4 |
| 14 | 555141d1ba |
| 15 | 2d5e3d0e6a |
| hex | 19e549cf10 |
111221002000 has 80 divisors (see below), whose sum is σ = 269022482352. Its totient is φ = 44473497600.
The previous prime is 111221001979. The next prime is 111221002003. The reversal of 111221002000 is 200122111.
111221002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 11003170816 + 100217831184 = 104896^2 + 316572^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1112210020002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (111221002003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7458552 + ... + 7473448.
Almost surely, 2111221002000 is an apocalyptic number.
111221002000 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 111221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134511241176).
111221002000 is an abundant number, since it is smaller than the sum of its proper divisors (157801480352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111221002000 is a wasteful number, since it uses less digits than its factorization.
111221002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18653 (or 18637 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 111221002000 its reverse (200122111), we get a palindrome (111421124111).
The spelling of 111221002000 in words is "one hundred eleven billion, two hundred twenty-one million, two thousand".
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