Search a number
-
+
212020320033 = 32471932597047
BaseRepresentation
bin1100010101110101100…
…1010101011100100001
3202021021001122012200200
43011131121111130201
511433204200220113
6241222323135413
721214026661554
oct3053531253441
9667231565620
10212020320033
1181a0aa41595
1235111214569
1316cbb749992
14a3946ac69b
1557ad8aa873
hex315d655721

212020320033 has 24 divisors (see below), whose sum is σ = 314388242688. Its totient is φ = 137622661632.

The previous prime is 212020320019. The next prime is 212020320103. The reversal of 212020320033 is 330023020212.

It is a happy number.

212020320033 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 212020320033 - 26 = 212020319969 is a prime.

It is a super-2 number, since 2×2120203200332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212020319988 and 212020320015.

It is not an unprimeable number, because it can be changed into a prime (212020320833) 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 23 ways as a sum of consecutive naturals, for example, 1216885 + ... + 1380162.

It is an arithmetic number, because the mean of its divisors is an integer number (13099510112).

Almost surely, 2212020320033 is an apocalyptic number.

It is an amenable number.

212020320033 is a deficient number, since it is larger than the sum of its proper divisors (102367922655).

212020320033 is a wasteful number, since it uses less digits than its factorization.

212020320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597293 (or 2597290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212020320033 its reverse (330023020212), we get a palindrome (542043340245).

The spelling of 212020320033 in words is "two hundred twelve billion, twenty million, three hundred twenty thousand, thirty-three".

Divisors: 1 3 9 47 141 193 423 579 1737 9071 27213 81639 2597047 7791141 23373423 122061209 366183627 501230071 1098550881 1503690213 4511070639 23557813337 70673440011 212020320033