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2002011001221 = 3711174491135427
BaseRepresentation
bin11101001000100001001…
…001111001000110000101
321002101112120220022000210
4131020201021321012011
5230300104304014341
64131413335430033
7264432461506260
oct35104111710605
97071476808023
102002011001221
11702059021870
12284005525319
13116a34090c1a
146cc7d9adcd7
1537124814c16
hex1d221279185

2002011001221 has 64 divisors (see below), whose sum is σ = 3531635251200. Its totient is φ = 976648028160.

The previous prime is 2002011001213. The next prime is 2002011001373. The reversal of 2002011001221 is 1221001102002.

It is not a de Polignac number, because 2002011001221 - 23 = 2002011001213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002011001197 and 2002011001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011001721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1195510 + ... + 2330936.

It is an arithmetic number, because the mean of its divisors is an integer number (55181800800).

Almost surely, 22002011001221 is an apocalyptic number.

2002011001221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002011001221 is a deficient number, since it is larger than the sum of its proper divisors (1529624249979).

2002011001221 is a wasteful number, since it uses less digits than its factorization.

2002011001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135914.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002011001221 its reverse (1221001102002), we get a palindrome (3223012103223).

The spelling of 2002011001221 in words is "two trillion, two billion, eleven million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 449 561 1309 1347 3143 3927 4939 7633 9429 14817 22899 34573 53431 83963 103719 160293 251889 587741 1135427 1763223 3406281 7947989 12489697 19302259 23843967 37469091 57906777 87427879 135115813 212324849 262283637 405347439 509806723 636974547 1486273943 1529420169 3568647061 4458821829 5607873953 8666714291 10705941183 16823621859 26000142873 39255117671 60667000037 95333857201 117765353013 182001000111 286001571603 667337000407 2002011001221