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2002211120221 = 13316782989449
BaseRepresentation
bin11101001000101101000…
…101010010010001011101
321002102001112110101200121
4131020231011102101131
5230301012021321341
64131445244554541
7264440441500504
oct35105505222135
97072045411617
102002211120221
11702150a86174
12284060552a51
13116a6668a430
146cc9c3c383b
15371371944d1
hex1d22d15245d

2002211120221 has 32 divisors (see below), whose sum is σ = 2261753984000. Its totient is φ = 1759735549440.

The previous prime is 2002211120219. The next prime is 2002211120237. The reversal of 2002211120221 is 1220211122002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002211120221 - 21 = 2002211120219 is a prime.

It is a super-3 number, since 3×20022111202213 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002211120195 and 2002211120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211100221) 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, 22339105 + ... + 22428553.

It is an arithmetic number, because the mean of its divisors is an integer number (70679812000).

Almost surely, 22002211120221 is an apocalyptic number.

It is an amenable number.

2002211120221 is a deficient number, since it is larger than the sum of its proper divisors (259542863779).

2002211120221 is a wasteful number, since it uses less digits than its factorization.

2002211120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90389.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2002211120221 its reverse (1220211122002), we get a palindrome (3222422242223).

The spelling of 2002211120221 in words is "two trillion, two billion, two hundred eleven million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 13 31 67 403 829 871 2077 10777 25699 27001 55543 89449 334087 722059 1162837 1721833 2772919 5993083 22383829 36047947 74153221 77910079 185785573 963991873 2298749851 2415212449 4968265807 29883748063 64587455491 154016240017 2002211120221