Search a number
-
+
213141002224 = 24179641116101
BaseRepresentation
bin1100011010000000110…
…0011001011111110000
3202101011011101202122111
43012200030121133300
511443003044032344
6241525435215104
721253555424563
oct3064014313760
9671134352574
10213141002224
11824355a2717
12353845a7494
131713998c437
14a45d4724da
155826e79834
hex31a03197f0

213141002224 has 40 divisors (see below), whose sum is σ = 415919160720. Its totient is φ = 105808896000.

The previous prime is 213141002213. The next prime is 213141002233. The reversal of 213141002224 is 422200141312.

It is a junction number, because it is equal to n+sod(n) for n = 213141002195 and 213141002204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777774 + ... + 1893874.

It is an arithmetic number, because the mean of its divisors is an integer number (10397979018).

Almost surely, 2213141002224 is an apocalyptic number.

It is an amenable number.

213141002224 is a deficient number, since it is larger than the sum of its proper divisors (202778158496).

213141002224 is a wasteful number, since it uses less digits than its factorization.

213141002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116929 (or 116923 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213141002224 its reverse (422200141312), we get a palindrome (635341143536).

The spelling of 213141002224 in words is "two hundred thirteen billion, one hundred forty-one million, two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 179 358 641 716 1282 1432 2564 2864 5128 10256 114739 116101 229478 232202 458956 464404 917912 928808 1835824 1857616 20782079 41564158 74420741 83128316 148841482 166256632 297682964 332513264 595365928 1190731856 13321312639 26642625278 53285250556 106570501112 213141002224