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212212021220001 = 32113789650943143
BaseRepresentation
bin110000010000000101110110…
…001001000101001010100001
31000211101021022122001002120200
4300100011312021011022201
5210303340204413020001
62031200505014055413
762461545500060625
oct6020056611051241
91024337278032520
10212212021220001
1161687681693910
121b97414064a569
13915467a651c5a
143a5918c067185
1519801c5997086
hexc101762452a1

212212021220001 has 48 divisors (see below), whose sum is σ = 347291186186880. Its totient is φ = 123731272431360.

The previous prime is 212212021219967. The next prime is 212212021220021. The reversal of 212212021220001 is 100022120212212.

It is a happy number.

212212021220001 is a `hidden beast` number, since 21 + 221 + 202 + 1 + 220 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 212212021220001 - 27 = 212212021219873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212212021220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325145565 + ... + 325797578.

It is an arithmetic number, because the mean of its divisors is an integer number (7235233045560).

Almost surely, 2212212021220001 is an apocalyptic number.

It is an amenable number.

212212021220001 is a deficient number, since it is larger than the sum of its proper divisors (135079164966879).

212212021220001 is a wasteful number, since it uses less digits than its factorization.

212212021220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650943286 (or 650943283 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212021220001 its reverse (100022120212212), we get a palindrome (312234141432213).

The spelling of 212212021220001 in words is "two hundred twelve trillion, two hundred twelve billion, twenty-one million, two hundred twenty thousand, one".

Divisors: 1 3 9 11 33 37 89 99 111 267 333 407 801 979 1221 2937 3293 3663 8811 9879 29637 36223 108669 326007 650943143 1952829429 5858488287 7160374573 21481123719 24084896291 57933939727 64443371157 72254688873 173801819181 216764066619 264933859201 521405457543 637273336997 794801577603 1911820010991 2143555769899 2384404732809 5735460032973 6430667309697 19292001929091 23579113468889 70737340406667 212212021220001