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212033505213 = 32113226791967
BaseRepresentation
bin1100010101111000101…
…1101000011110111101
3202021021222110002100200
43011132023220132331
511433221034131323
6241223513514113
721214250025405
oct3053613503675
9667258402320
10212033505213
1181a17427832
1235115712939
1316cc13b526a
14a396341805
1557aeb12443
hex315e2e87bd

212033505213 has 24 divisors (see below), whose sum is σ = 309120634368. Its totient is φ = 140041410432.

The previous prime is 212033505197. The next prime is 212033505217. The reversal of 212033505213 is 312505330212.

It is a happy number.

212033505213 is a `hidden beast` number, since 2 + 120 + 33 + 505 + 2 + 1 + 3 = 666.

It is not a de Polignac number, because 212033505213 - 24 = 212033505197 is a prime.

It is a super-2 number, since 2×2120335052132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033505217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259556 + ... + 2351522.

It is an arithmetic number, because the mean of its divisors is an integer number (12880026432).

Almost surely, 2212033505213 is an apocalyptic number.

It is an amenable number.

212033505213 is a deficient number, since it is larger than the sum of its proper divisors (97087129155).

212033505213 is a wasteful number, since it uses less digits than its factorization.

212033505213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94353 (or 94350 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 212033505213 its reverse (312505330212), we get a palindrome (524538835425).

The spelling of 212033505213 in words is "two hundred twelve billion, thirty-three million, five hundred five thousand, two hundred thirteen".

Divisors: 1 3 9 113 339 1017 2267 6801 20403 91967 256171 275901 768513 827703 2305539 10392271 31176813 93530439 208489189 625467567 1876402701 23559278357 70677835071 212033505213