Base | Representation |
---|---|
bin | 1011000000010100110101… |
… | …0111111101100110100100 |
3 | 1120211202210012120102012001 |
4 | 2300011031113331212210 |
5 | 3041222223034000400 |
6 | 41422433105535044 |
7 | 2356132520321122 |
oct | 260051527754644 |
9 | 46752705512161 |
10 | 12100221000100 |
11 | 3945747336612 |
12 | 143512b644484 |
13 | 69a079c29ccc |
14 | 2db92212a912 |
15 | 15eb4b761a6a |
hex | b014d5fd9a4 |
12100221000100 has 36 divisors (see below), whose sum is σ = 26257713398784. Its totient is φ = 4840045298080.
The previous prime is 12100221000013. The next prime is 12100221000107. The reversal of 12100221000100 is 100012200121.
12100221000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×121002210001002 (a number of 27 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 (12100221000107) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12259197 + ... + 13209403.
It is an arithmetic number, because the mean of its divisors is an integer number (729380927744).
Almost surely, 212100221000100 is an apocalyptic number.
12100221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12100221000100 is an abundant number, since it is smaller than the sum of its proper divisors (14157492398684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100221000100 is a wasteful number, since it uses less digits than its factorization.
12100221000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1077564 (or 1077557 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 12100221000100 its reverse (100012200121), we get a palindrome (12200233200221).
It can be divided in two parts, 1210022 and 1000100, that added together give a palindrome (2210122).
The spelling of 12100221000100 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, one hundred", and thus it is an aban number.
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