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212002000021 = 72107163359691
BaseRepresentation
bin1100010101110001001…
…1011100110010010101
3202021012210011110100201
43011130103130302111
511433140003000041
6241220430340501
721213415160500
oct3053423346225
9667183143321
10212002000021
1181a00669489
123510705a731
1316cb7a04136
14a3920a0137
1557abe8c631
hex315c4dcc95

212002000021 has 48 divisors (see below), whose sum is σ = 251507566080. Its totient is φ = 178156752480.

The previous prime is 212001999961. The next prime is 212002000031. The reversal of 212002000021 is 120000200212.

212002000021 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 212002000021 - 27 = 212001999893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212001999971 and 212002000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002000031) 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 47 ways as a sum of consecutive naturals, for example, 306804286 + ... + 306804976.

It is an arithmetic number, because the mean of its divisors is an integer number (5239740960).

Almost surely, 2212002000021 is an apocalyptic number.

It is an amenable number.

212002000021 is a deficient number, since it is larger than the sum of its proper divisors (39505566059).

212002000021 is a wasteful number, since it uses less digits than its factorization.

212002000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 212002000021 its reverse (120000200212), we get a palindrome (332002200233).

The spelling of 212002000021 in words is "two hundred twelve billion, two million, twenty-one", and thus it is an aban number.

Divisors: 1 7 49 107 163 359 691 749 1141 2513 4837 5243 7987 17441 17591 33859 38413 58517 73937 112633 122087 248069 268891 409619 517559 788431 854609 1736483 1882237 2867333 3622913 5519017 6261319 12051731 12155381 26543383 40435247 43829233 84362117 185803681 283046729 306804631 590534819 1300625767 1981327103 4326571429 30286000003 212002000021