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212021013321 = 331321723151787
BaseRepresentation
bin1100010101110101101…
…1111110101101001001
3202021021002221102201000
43011131123332231021
511433204334411241
6241222350045213
721214035610035
oct3053533765511
9667232842630
10212021013321
1181a10375457
12351114a9809
1316cbb930400
14a39480d1c5
1557ad995eb6
hex315d6feb49

212021013321 has 192 divisors, whose sum is σ = 378760458240. Its totient is φ = 116534246400.

The previous prime is 212021013293. The next prime is 212021013343. The reversal of 212021013321 is 123310120212.

212021013321 is a `hidden beast` number, since 2 + 120 + 210 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 212021013321 - 29 = 212021012809 is a prime.

It is a super-3 number, since 3×2120210133213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212021013294 and 212021013303.

It is not an unprimeable number, because it can be changed into a prime (212021013521) 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 191 ways as a sum of consecutive naturals, for example, 269403690 + ... + 269404476.

It is an arithmetic number, because the mean of its divisors is an integer number (1972710720).

Almost surely, 2212021013321 is an apocalyptic number.

It is an amenable number.

212021013321 is a deficient number, since it is larger than the sum of its proper divisors (166739444919).

212021013321 is a wasteful number, since it uses less digits than its factorization.

212021013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021013321 its reverse (123310120212), we get a palindrome (335331133533).

The spelling of 212021013321 in words is "two hundred twelve billion, twenty-one million, thirteen thousand, three hundred twenty-one".