Base | Representation |
---|---|
bin | 1010000111111110110000… |
… | …1001100101110100001100 |
3 | 1110102020012201001102202200 |
4 | 2201333230021211310030 |
5 | 2424342242340413400 |
6 | 35402023340121500 |
7 | 2226163562304150 |
oct | 241775411456414 |
9 | 43366181042680 |
10 | 11132222201100 |
11 | 3602170241680 |
12 | 12b95ba836290 |
13 | 6299c1801480 |
14 | 2a6b33c1b060 |
15 | 144894672b00 |
hex | a1fec265d0c |
11132222201100 has 1728 divisors, whose sum is σ = 48307473457152. Its totient is φ = 2069286912000.
The previous prime is 11132222201057. The next prime is 11132222201143. The reversal of 11132222201100 is 110222223111.
11132222201100 is a `hidden beast` number, since 1 + 11 + 322 + 2 + 220 + 110 + 0 = 666.
11132222201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (11132222201057) and next prime (11132222201143).
It is a super-2 number, since 2×111322222011002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11233321605 + ... + 11233322595.
Almost surely, 211132222201100 is an apocalyptic number.
11132222201100 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 11132222201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153736728576).
11132222201100 is an abundant number, since it is smaller than the sum of its proper divisors (37175251256052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11132222201100 is a wasteful number, since it uses less digits than its factorization.
11132222201100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1416 (or 1406 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 11132222201100 its reverse (110222223111), we get a palindrome (11242444424211).
The spelling of 11132222201100 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-two million, two hundred one thousand, one hundred".
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