Base | Representation |
---|---|
bin | 1100011001011111111… |
… | …0011101100101000010 |
3 | 202100210112222012011100 |
4 | 3012113332131211002 |
5 | 11442212300144302 |
6 | 241504032155230 |
7 | 21250262512341 |
oct | 3062776354502 |
9 | 670715865140 |
10 | 213003131202 |
11 | 82374795124 |
12 | 35346398b16 |
13 | 17117249154 |
14 | a449023b58 |
15 | 5819ce3d1c |
hex | 3197f9d942 |
213003131202 has 48 divisors (see below), whose sum is σ = 472819635288. Its totient is φ = 69261020160.
The previous prime is 213003131191. The next prime is 213003131207. The reversal of 213003131202 is 202131300312.
213003131202 is a `hidden beast` number, since 21 + 300 + 31 + 312 + 0 + 2 = 666.
213003131202 is digitally balanced in base 3, 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 4 ways, for example, as 121570071561 + 91433059641 = 348669^2 + 302379^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (213003131207) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10434718 + ... + 10455110.
Almost surely, 2213003131202 is an apocalyptic number.
213003131202 is an abundant number, since it is smaller than the sum of its proper divisors (259816504086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213003131202 is a wasteful number, since it uses less digits than its factorization.
213003131202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34595 (or 34592 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 213003131202 its reverse (202131300312), we get a palindrome (415134431514).
The spelling of 213003131202 in words is "two hundred thirteen billion, three million, one hundred thirty-one thousand, two hundred two".
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