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212033221220 = 22510601661061
BaseRepresentation
bin1100010101111000101…
…0100011001001100100
3202021021221220122210102
43011132022203021210
511433221001034340
6241223503443232
721214244433422
oct3053612431144
9667257818712
10212033221220
1181a17253427
12351155b6518
1316cc1315c12
14a3962aa112
1557aeaa8215
hex315e2a3264

212033221220 has 12 divisors (see below), whose sum is σ = 445269764604. Its totient is φ = 84813288480.

The previous prime is 212033221217. The next prime is 212033221243. The reversal of 212033221220 is 22122330212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64179128896 + 147854092324 = 253336^2 + 384518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10601661061 = 212033221220 / (2 + 1 + 2 + 0 + 3 + 3 + 2 + 2 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 212033221192 and 212033221201.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5300830511 + ... + 5300830550.

It is an arithmetic number, because the mean of its divisors is an integer number (37105813717).

Almost surely, 2212033221220 is an apocalyptic number.

212033221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033221220 is an abundant number, since it is smaller than the sum of its proper divisors (233236543384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212033221220 is a wasteful number, since it uses less digits than its factorization.

212033221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601661070 (or 10601661068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212033221220 its reverse (22122330212), we get a palindrome (234155551432).

It can be divided in two parts, 21203 and 3221220, that added together give a palindrome (3242423).

The spelling of 212033221220 in words is "two hundred twelve billion, thirty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10601661061 21203322122 42406644244 53008305305 106016610610 212033221220