Search a number
-
+
212202022221 = 32747101709561
BaseRepresentation
bin1100010110100000111…
…0011110010101001101
3202021201201112122020100
43011220032132111031
511434042204202341
6241252333441313
721221364266550
oct3055016362515
9667651478210
10212202022221
1181aa3567092
1235162040239
131701a298577
14a3b088a697
1557be7ed3b6
hex316839e54d

212202022221 has 48 divisors (see below), whose sum is σ = 361297617408. Its totient is φ = 117503136000.

The previous prime is 212202022159. The next prime is 212202022223. The reversal of 212202022221 is 122220202212.

212202022221 is a `hidden beast` number, since 21 + 220 + 202 + 2 + 221 = 666.

212202022221 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 212202022221 - 217 = 212201891149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212202022194 and 212202022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202022223) 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, 55720 + ... + 653841.

It is an arithmetic number, because the mean of its divisors is an integer number (7527033696).

Almost surely, 2212202022221 is an apocalyptic number.

212202022221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212202022221 is a deficient number, since it is larger than the sum of its proper divisors (149095595187).

212202022221 is a wasteful number, since it uses less digits than its factorization.

212202022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709722 (or 709719 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212202022221 its reverse (122220202212), we get a palindrome (334422224433).

The spelling of 212202022221 in words is "two hundred twelve billion, two hundred two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 47 63 101 141 303 329 423 707 909 987 2121 2961 4747 6363 14241 33229 42723 99687 299061 709561 2128683 4966927 6386049 14900781 33349367 44702343 71665661 100048101 214996983 233445569 300144303 501659627 644990949 700336707 1504978881 2101010121 3368286067 4514936643 10104858201 23578002469 30314574603 70734007407 212202022221