Search a number
-
+
212100003333 = 33411012637213
BaseRepresentation
bin1100010110001000100…
…1010011011000000101
3202021110121120112122000
43011202021103120011
511433340100101313
6241234251055513
721216015165441
oct3054211233005
9667417515560
10212100003333
1181a50a16859
1235133a41599
13170020c8b6a
14a3a10d1821
1557b589a673
hex3162253605

212100003333 has 64 divisors (see below), whose sum is σ = 326354434560. Its totient is φ = 136047168000.

The previous prime is 212100003329. The next prime is 212100003347. The reversal of 212100003333 is 333300001212.

It is not a de Polignac number, because 212100003333 - 22 = 212100003329 is a prime.

It is a super-2 number, since 2×2121000033332 (a number of 23 digits) contains 22 as substring.

212100003333 is a modest number, since divided by 3333 gives 2121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100008333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29401635 + ... + 29408847.

It is an arithmetic number, because the mean of its divisors is an integer number (5099288040).

Almost surely, 2212100003333 is an apocalyptic number.

It is an amenable number.

212100003333 is a deficient number, since it is larger than the sum of its proper divisors (114254431227).

212100003333 is a wasteful number, since it uses less digits than its factorization.

212100003333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 212100003333 its reverse (333300001212), we get a palindrome (545400004545).

The spelling of 212100003333 in words is "two hundred twelve billion, one hundred million, three thousand, three hundred thirty-three".

Divisors: 1 3 9 27 41 101 123 263 303 369 789 909 1107 2367 2727 4141 7101 7213 10783 12423 21639 26563 32349 37269 64917 79689 97047 111807 194751 239067 291141 295733 717201 728513 887199 1089083 1897019 2185539 2661597 3267249 5691057 6556617 7984791 9801747 17073171 19669851 29405241 29869033 51219513 77777779 89607099 191598919 233333337 268821297 574796757 700000011 806463891 1724390271 2100000033 5173170813 7855555679 23566667037 70700001111 212100003333