Base | Representation |
---|---|
bin | 1111101001001… |
… | …00001010000100 |
3 | 100010220200010201 |
4 | 13310210022010 |
5 | 232043020400 |
6 | 21004300244 |
7 | 3152231614 |
oct | 764441204 |
9 | 303820121 |
10 | 131220100 |
11 | 68085670 |
12 | 37b41684 |
13 | 21254c3b |
14 | 135daa44 |
15 | b7c006a |
hex | 7d24284 |
131220100 has 36 divisors (see below), whose sum is σ = 310636368. Its totient is φ = 47716000.
The previous prime is 131220079. The next prime is 131220101. The reversal of 131220100 is 1022131.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (131220101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58546 + ... + 60745.
It is an arithmetic number, because the mean of its divisors is an integer number (8628788).
Almost surely, 2131220100 is an apocalyptic number.
131220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131220100 is an abundant number, since it is smaller than the sum of its proper divisors (179416268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131220100 is a wasteful number, since it uses less digits than its factorization.
131220100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119316 (or 119309 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 131220100 is about 11455.1342200779. The cubic root of 131220100 is about 508.1595846816.
Adding to 131220100 its reverse (1022131), we get a palindrome (132242231).
It can be divided in two parts, 1312 and 20100, that added together give a palindrome (21412).
The spelling of 131220100 in words is "one hundred thirty-one million, two hundred twenty thousand, one hundred".
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