Base | Representation |
---|---|
bin | 111111100000110… |
… | …0111101101000000 |
3 | 12111112002200102012 |
4 | 1333001213231000 |
5 | 13331032144300 |
6 | 551245312052 |
7 | 103545213332 |
oct | 17701475500 |
9 | 5445080365 |
10 | 2131131200 |
11 | 9a3a71460 |
12 | 4b5865628 |
13 | 27c69a9a3 |
14 | 163071452 |
15 | c7166435 |
hex | 7f067b40 |
2131131200 has 168 divisors, whose sum is σ = 6022665120. Its totient is φ = 734054400.
The previous prime is 2131131193. The next prime is 2131131227. The reversal of 2131131200 is 21311312.
It is a super-2 number, since 2×21311312002 = 9083440383226880000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331214 + ... + 337586.
Almost surely, 22131131200 is an apocalyptic number.
2131131200 is a gapful number since it is divisible by the number (20) 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 2131131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011332560).
2131131200 is an abundant number, since it is smaller than the sum of its proper divisors (3891533920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131131200 is a wasteful number, since it uses less digits than its factorization.
2131131200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6425 (or 6410 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 2131131200 is about 46164.1765874796. The cubic root of 2131131200 is about 1286.8760819024.
Adding to 2131131200 its reverse (21311312), we get a palindrome (2152442512).
2131131200 divided by its reverse (21311312) gives a square (100 = 102).
It can be divided in two parts, 2131 and 131200, that added together give a palindrome (133331).
The spelling of 2131131200 in words is "two billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred".
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