Search a number
-
+
212021102202021 = 32723907123054383
BaseRepresentation
bin110000001101010100000010…
…011110110100110010100101
31000210201000112011020002112200
4300031110002132310302211
5210242223204130431041
62030533052201005113
762442006364151100
oct6015240236646245
91023630464202480
10212021102202021
116161370a8a5932
121b94313a183799
13913c6727c8428
143a4dc3a03b737
15197a24e8991b6
hexc0d5027b4ca5

212021102202021 has 36 divisors (see below), whose sum is σ = 356344330709952. Its totient is φ = 121123904855184.

The previous prime is 212021102201999. The next prime is 212021102202043. The reversal of 212021102202021 is 120202201120212.

It is a happy number.

212021102202021 is a `hidden beast` number, since 212 + 0 + 21 + 10 + 220 + 202 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212021102201999) and next prime (212021102202043).

It is not a de Polignac number, because 212021102202021 - 217 = 212021102070949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212021102201985 and 212021102202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021102206021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59804205 + ... + 63250178.

It is an arithmetic number, because the mean of its divisors is an integer number (9898453630832).

Almost surely, 2212021102202021 is an apocalyptic number.

212021102202021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212021102202021 is a deficient number, since it is larger than the sum of its proper divisors (144323228507931).

212021102202021 is a wasteful number, since it uses less digits than its factorization.

212021102202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123058310 (or 123058300 counting only the distinct ones).

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

Adding to 212021102202021 its reverse (120202201120212), we get a palindrome (332223303322233).

The spelling of 212021102202021 in words is "two hundred twelve trillion, twenty-one billion, one hundred two million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 3907 11721 27349 35163 82047 191443 246141 574329 1722987 123054383 369163149 861380681 1107489447 2584142043 6029664767 7752426129 18088994301 54266982903 480773474381 1442320423143 3365414320667 4326961269429 10096242962001 23557900244669 30288728886003 70673700734007 212021102202021