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212102012021 = 10127165311867
BaseRepresentation
bin1100010110001001000…
…0111101110001110101
3202021110202100121000212
43011202100331301311
511433341103341041
6241234402115205
721216041232614
oct3054220756165
9667422317025
10212102012021
1181a52068a29
123513464bb05
1317002650233
14a3a149587b
1557b5b458eb
hex316243dc75

212102012021 has 16 divisors (see below), whose sum is σ = 215339827968. Its totient is φ = 208889064000.

The previous prime is 212102011921. The next prime is 212102012027. The reversal of 212102012021 is 120210201212.

212102012021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212102012021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212102011987 and 212102012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102012027) 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 15 ways as a sum of consecutive naturals, for example, 17867330 + ... + 17879196.

It is an arithmetic number, because the mean of its divisors is an integer number (13458739248).

Almost surely, 2212102012021 is an apocalyptic number.

It is an amenable number.

212102012021 is a deficient number, since it is larger than the sum of its proper divisors (3237815947).

212102012021 is a wasteful number, since it uses less digits than its factorization.

212102012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212102012021 its reverse (120210201212), we get a palindrome (332312213233).

The spelling of 212102012021 in words is "two hundred twelve billion, one hundred two million, twelve thousand, twenty-one".

Divisors: 1 101 271 653 11867 27371 65953 176963 1198567 3215957 7749151 17873263 324811657 782664251 2100019921 212102012021