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212013313213 = 137117310911217
BaseRepresentation
bin1100010101110011111…
…0100110110010111101
3202021020120110020010211
43011130332212302331
511433200402010323
6241221513032421
721213613266532
oct3053476466275
9667216406124
10212013313213
1181a06a96229
123510a9b5711
1316cba165630
14a3937a6d89
1557ace7470d
hex315cfa6cbd

212013313213 has 32 divisors (see below), whose sum is σ = 233281181952. Its totient is φ = 191499571200.

The previous prime is 212013313177. The next prime is 212013313217. The reversal of 212013313213 is 312313310212.

It is a cyclic number.

It is not a de Polignac number, because 212013313213 - 217 = 212013182141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013313217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174209181 + ... + 174210397.

It is an arithmetic number, because the mean of its divisors is an integer number (7290036936).

Almost surely, 2212013313213 is an apocalyptic number.

It is an amenable number.

212013313213 is a deficient number, since it is larger than the sum of its proper divisors (21267868739).

212013313213 is a wasteful number, since it uses less digits than its factorization.

212013313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212013313213 its reverse (312313310212), we get a palindrome (524326623425).

The spelling of 212013313213 in words is "two hundred twelve billion, thirteen million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 13 71 173 923 1091 1217 2249 12283 14183 15821 77461 86407 159679 188743 210541 1006993 1123291 1327747 2453659 2737033 13400753 14948411 17260711 94270037 174209789 194329343 229700231 1225510481 2986103003 16308716401 212013313213