Base | Representation |
---|---|
bin | 101110100111110111… |
… | …1111101100111001000 |
3 | 100120102200121210221102 |
4 | 1131033233331213020 |
5 | 3120022242033000 |
6 | 113555010400532 |
7 | 10143056556644 |
oct | 1351757754710 |
9 | 316380553842 |
10 | 100122221000 |
11 | 3950942459a |
12 | 174a2890148 |
13 | 9597c33569 |
14 | 4bbb397c24 |
15 | 290ed2d3d5 |
hex | 174fbfd9c8 |
100122221000 has 32 divisors (see below), whose sum is σ = 234285999480. Its totient is φ = 40048888000.
The previous prime is 100122220997. The next prime is 100122221009. The reversal of 100122221000 is 122221001.
It is a happy number.
100122221000 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 4 ways, for example, as 11971423396 + 88150797604 = 109414^2 + 296902^2 .
It is a super-3 number, since 3×1001222210003 (a number of 34 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (100122221009) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50060111 + ... + 50062110.
Almost surely, 2100122221000 is an apocalyptic number.
100122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
100122221000 is an abundant number, since it is smaller than the sum of its proper divisors (134163778480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100122221000 is a wasteful number, since it uses less digits than its factorization.
100122221000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100122242 (or 100122228 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 100122221000 its reverse (122221001), we get a palindrome (100244442001).
Subtracting from 100122221000 its reverse (122221001), we obtain a palindrome (99999999999).
The spelling of 100122221000 in words is "one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand".
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