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212220120021 = 37136161320789
BaseRepresentation
bin1100010110100101001…
…1100000101111010101
3202021202222121002202020
43011221103200233111
511434111322320041
6241254221403353
721222004154040
oct3055123405725
9667688532666
10212220120021
11820027a8248
1235168109559
1317020c63c20
14a3b303bc57
1557c11c5866
hex31694e0bd5

212220120021 has 64 divisors (see below), whose sum is σ = 354562306560. Its totient is φ = 109920291840.

The previous prime is 212220120001. The next prime is 212220120023. The reversal of 212220120021 is 120021022212.

212220120021 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 212220120021 - 26 = 212220119957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220120023) 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 63 ways as a sum of consecutive naturals, for example, 10197895 + ... + 10218683.

It is an arithmetic number, because the mean of its divisors is an integer number (5540036040).

Almost surely, 2212220120021 is an apocalyptic number.

212220120021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212220120021 is a deficient number, since it is larger than the sum of its proper divisors (142342186539).

212220120021 is a wasteful number, since it uses less digits than its factorization.

212220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21486.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212220120021 its reverse (120021022212), we get a palindrome (332241142233).

The spelling of 212220120021 in words is "two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 13 21 39 61 91 183 273 427 613 793 1281 1839 2379 4291 5551 7969 12873 16653 20789 23907 37393 55783 62367 112179 145523 167349 261751 270257 436569 486109 785253 810771 1268129 1458327 1891799 3402763 3804387 5675397 8876903 10208289 12743657 16485677 26630709 38230971 49457031 89205599 115399739 165667541 267616797 346199217 497002623 777363077 1159672787 2332089231 3479018361 5441541539 10105720001 16324624617 30317160003 70740040007 212220120021