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212101221003 = 3722969177193
BaseRepresentation
bin1100010110001000110…
…1111100101010001011
3202021110200212101221220
43011202031330222023
511433340403033003
6241234333133123
721216031426500
oct3054215745213
9667420771856
10212101221003
1181a516786a1
123513432a1a3
1317002434189
14a3a132b4a7
1557b5a3b353
hex316237ca8b

212101221003 has 48 divisors (see below), whose sum is σ = 340413749280. Its totient is φ = 116988178944.

The previous prime is 212101220999. The next prime is 212101221049. The reversal of 212101221003 is 300122101212.

212101221003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212101221003 - 22 = 212101220999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212101221503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29483575 + ... + 29490767.

It is an arithmetic number, because the mean of its divisors is an integer number (7091953110).

Almost surely, 2212101221003 is an apocalyptic number.

212101221003 is a deficient number, since it is larger than the sum of its proper divisors (128312528277).

212101221003 is a wasteful number, since it uses less digits than its factorization.

212101221003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14156 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212101221003 its reverse (300122101212), we get a palindrome (512223322215).

The spelling of 212101221003 in words is "two hundred twelve billion, one hundred one million, two hundred twenty-one thousand, three".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 6917 7193 20751 21579 48419 50351 145257 151053 200593 208597 338933 352457 601779 625791 1016799 1057371 1404151 1460179 4212453 4380537 9829057 10221253 29487171 30663759 49753981 149261943 348277867 1044833601 1442865449 2437945069 4328596347 7313835207 10100058143 30300174429 70700407001 212101221003