Search a number
-
+
211212020002221 = 32737412210001151
BaseRepresentation
bin110000000001100010100001…
…011011001010110110101101
31000200211200010211022210121200
4300001202201123022312231
5210140444204110032341
62025113243521320113
762326364516010330
oct6001424133126655
91020750124283550
10211212020002221
1161331573006a97
121b83237a196039
1390b129204b044
143a22a057c4617
15196419908edb6
hexc018a16cadad

211212020002221 has 48 divisors (see below), whose sum is σ = 366824831213568. Its totient is φ = 114566459616000.

The previous prime is 211212020002219. The next prime is 211212020002229. The reversal of 211212020002221 is 122200020212112.

It is a happy number.

211212020002221 is a `hidden beast` number, since 211 + 212 + 0 + 20 + 0 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 211212020002221 - 21 = 211212020002219 is a prime.

It is a super-2 number, since 2×2112120200022212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211212020002194 and 211212020002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212020002229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104905005 + ... + 1105096146.

It is an arithmetic number, because the mean of its divisors is an integer number (7642183983616).

Almost surely, 2211212020002221 is an apocalyptic number.

211212020002221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211212020002221 is a deficient number, since it is larger than the sum of its proper divisors (155612811211347).

211212020002221 is a wasteful number, since it uses less digits than its factorization.

211212020002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210001242 (or 2210001239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211212020002221 its reverse (122200020212112), we get a palindrome (333412040214333).

The spelling of 211212020002221 in words is "two hundred eleven trillion, two hundred twelve billion, twenty million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 41 63 111 123 259 287 333 369 777 861 1517 2331 2583 4551 10619 13653 31857 95571 2210001151 6630003453 15470008057 19890010359 46410024171 81770042587 90610047191 139230072513 245310127761 271830141573 572390298109 634270330337 735930383283 815490424719 1717170894327 1902810991011 3352571746067 5151512682981 5708432973033 10057715238201 23468002222469 30173145714603 70404006667407 211212020002221