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212111220010221 = 3273366844762067
BaseRepresentation
bin110000001110100111111101…
…111010111110110011101101
31000211000122010121210002010200
4300032213331322332303231
5210300212234310311341
62031042314350224113
762451346523656560
oct6016477572766355
91024018117702120
10212111220010221
1161648954a70a74
121b9586aa4b5039
139148004b57aac
143a543488444d7
15197c776246db6
hexc0e9fdebeced

212111220010221 has 12 divisors (see below), whose sum is σ = 350151855255072. Its totient is φ = 121206411434376.

The previous prime is 212111220010201. The next prime is 212111220010223. The reversal of 212111220010221 is 122010022111212.

212111220010221 is a `hidden beast` number, since 2 + 1 + 211 + 1 + 220 + 0 + 10 + 221 = 666.

It is not a de Polignac number, because 212111220010221 - 214 = 212111219993837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212111220010194 and 212111220010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111220010223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683422380971 + ... + 1683422381096.

It is an arithmetic number, because the mean of its divisors is an integer number (29179321271256).

Almost surely, 2212111220010221 is an apocalyptic number.

212111220010221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212111220010221 is a deficient number, since it is larger than the sum of its proper divisors (138040635244851).

212111220010221 is a wasteful number, since it uses less digits than its factorization.

212111220010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366844762080 (or 3366844762077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111220010221 its reverse (122010022111212), we get a palindrome (334121242121433).

The spelling of 212111220010221 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred twenty million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 3366844762067 10100534286201 23567913334469 30301602858603 70703740003407 212111220010221