Base | Representation |
---|---|
bin | 1111101001000… |
… | …10011110010000 |
3 | 100010220022200011 |
4 | 13310202132100 |
5 | 232042310300 |
6 | 21004204304 |
7 | 3152202526 |
oct | 764423620 |
9 | 303808604 |
10 | 131213200 |
11 | 68080468 |
12 | 37b39694 |
13 | 21251a61 |
14 | 135d8316 |
15 | b7bceba |
hex | 7d22790 |
131213200 has 60 divisors (see below), whose sum is σ = 316868608. Its totient is φ = 52214400.
The previous prime is 131213177. The next prime is 131213249. The reversal of 131213200 is 2312131.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88465 + ... + 89935.
Almost surely, 2131213200 is an apocalyptic number.
131213200 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 131213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158434304).
131213200 is an abundant number, since it is smaller than the sum of its proper divisors (185655408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131213200 is a wasteful number, since it uses less digits than its factorization.
131213200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1712 (or 1701 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 131213200 is about 11454.8330411229. The cubic root of 131213200 is about 508.1506776046.
Adding to 131213200 its reverse (2312131), we get a palindrome (133525331).
The spelling of 131213200 in words is "one hundred thirty-one million, two hundred thirteen thousand, two hundred".
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