Search a number
-
+
212100121333 = 4797379122753
BaseRepresentation
bin1100010110001000100…
…1110000001011110101
3202021110121210112111101
43011202021300023311
511433340112340313
6241234253410101
721216016166452
oct3054211601365
9667417715441
10212100121333
1181a50a97481
1235133a99931
131700213a799
14a3a1122829
1557b58c05dd
hex31622702f5

212100121333 has 16 divisors (see below), whose sum is σ = 219425230080. Its totient is φ = 204903530496.

The previous prime is 212100121319. The next prime is 212100121379. The reversal of 212100121333 is 333121001212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212100121333 is a prime.

It is a super-2 number, since 2×2121001213332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212100121333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100421333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1666485 + ... + 1789237.

It is an arithmetic number, because the mean of its divisors is an integer number (13714076880).

Almost surely, 2212100121333 is an apocalyptic number.

It is an amenable number.

212100121333 is a deficient number, since it is larger than the sum of its proper divisors (7325108747).

212100121333 is a wasteful number, since it uses less digits than its factorization.

212100121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123276.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212100121333 its reverse (333121001212), we get a palindrome (545221122545).

The spelling of 212100121333 in words is "two hundred twelve billion, one hundred million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 47 97 379 4559 17813 36763 122753 1727861 5769391 11907041 46523387 559630927 2186599189 4512768539 212100121333