Base | Representation |
---|---|
bin | 10100101011001111… |
… | …00001011001110100 |
3 | 1001122120210111220200 |
4 | 22111213201121310 |
5 | 140213111201322 |
6 | 5033241400500 |
7 | 542033203125 |
oct | 122547413164 |
9 | 31576714820 |
10 | 11100100212 |
11 | 4786798643 |
12 | 2199499130 |
13 | 107b8a4946 |
14 | 7742ca04c |
15 | 44e7638ac |
hex | 2959e1674 |
11100100212 has 36 divisors (see below), whose sum is σ = 28063990500. Its totient is φ = 3699320832.
The previous prime is 11100100211. The next prime is 11100100243. The reversal of 11100100212 is 21200100111.
It is a happy number.
11100100212 is digitally balanced in base 2, 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 2 ways, for example, as 762091236 + 10338008976 = 27606^2 + 101676^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 11100100194 and 11100100203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11100100211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180148 + ... + 233780.
Almost surely, 211100100212 is an apocalyptic number.
11100100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
11100100212 is an abundant number, since it is smaller than the sum of its proper divisors (16963890288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11100100212 is a wasteful number, since it uses less digits than its factorization.
11100100212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59392 (or 59387 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 11100100212 its reverse (21200100111), we get a palindrome (32300200323).
The spelling of 11100100212 in words is "eleven billion, one hundred million, one hundred thousand, two hundred twelve".
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