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2120002221 = 317971014243
BaseRepresentation
bin111111001011100…
…1010101010101101
312110202011021022210
41332113022222231
513320210032341
6550211001033
7103351502331
oct17627125255
95422137283
102120002221
11998760057
124b1b99179
1327a2a22ac
141617b57c1
15c61b8c16
hex7e5caaad

2120002221 has 32 divisors (see below), whose sum is σ = 3054457728. Its totient is φ = 1303142400.

The previous prime is 2120002217. The next prime is 2120002303. The reversal of 2120002221 is 1222000212.

It is not a de Polignac number, because 2120002221 - 22 = 2120002217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120002197 and 2120002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120002201) 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, 497526 + ... + 501768.

It is an arithmetic number, because the mean of its divisors is an integer number (95451804).

Almost surely, 22120002221 is an apocalyptic number.

It is an amenable number.

2120002221 is a deficient number, since it is larger than the sum of its proper divisors (934455507).

2120002221 is a wasteful number, since it uses less digits than its factorization.

2120002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120002221 is about 46043.4818513978. The cubic root of 2120002221 is about 1284.6321063235.

Adding to 2120002221 its reverse (1222000212), we get a palindrome (3342002433).

The spelling of 2120002221 in words is "two billion, one hundred twenty million, two thousand, two hundred twenty-one".

Divisors: 1 3 17 51 97 101 291 303 1649 1717 4243 4947 5151 9797 12729 29391 72131 166549 216393 411571 428543 499647 1234713 1285629 6996707 7285231 20990121 21855693 41568671 124706013 706667407 2120002221