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212002020321 = 37133720988221
BaseRepresentation
bin1100010101110001001…
…1100001101111100001
3202021012210012111012120
43011130103201233201
511433140004122241
6241220431014453
721213415303620
oct3053423415741
9667183174176
10212002020321
1181a00682763
123510706a429
1316cb7a10450
14a3920a76b7
1557abe93666
hex315c4e1be1

212002020321 has 32 divisors (see below), whose sum is σ = 357303491328. Its totient is φ = 108802932480.

The previous prime is 212002020277. The next prime is 212002020337. The reversal of 212002020321 is 123020200212.

It is a happy number.

212002020321 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 212002020321 - 210 = 212002019297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212002020321.

It is not an unprimeable number, because it can be changed into a prime (212002020721) 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 31 ways as a sum of consecutive naturals, for example, 10484010 + ... + 10504211.

It is an arithmetic number, because the mean of its divisors is an integer number (11165734104).

Almost surely, 2212002020321 is an apocalyptic number.

212002020321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212002020321 is a deficient number, since it is larger than the sum of its proper divisors (145301471007).

212002020321 is a wasteful number, since it uses less digits than its factorization.

212002020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988281.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212002020321 its reverse (123020200212), we get a palindrome (335022220533).

The spelling of 212002020321 in words is "two hundred twelve billion, two million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 20988221 62964663 146917547 272846873 440752641 776564177 818540619 1909928111 2329692531 5435949239 5729784333 10095334301 16307847717 30286002903 70667340107 212002020321