Search a number
-
+
2002012110021 = 371113166158161
BaseRepresentation
bin11101001000100001001…
…110000111110011000101
321002101112122222122000110
4131020201032013303011
5230300110100010041
64131413415303233
7264432504105030
oct35104116076305
97071478878013
102002012110021
11702059709930
1228400597ab19
13116a3438b811
146cc7dbbc017
1537124983516
hex1d221387cc5

2002012110021 has 32 divisors (see below), whose sum is σ = 3353424915456. Its totient is φ = 1032067296000.

The previous prime is 2002012109983. The next prime is 2002012110023. The reversal of 2002012110021 is 1200112102002.

It is not a de Polignac number, because 2002012110021 - 229 = 2001475239109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002012109979 and 2002012110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002012110023) 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, 33048820 + ... + 33109341.

It is an arithmetic number, because the mean of its divisors is an integer number (104794528608).

Almost surely, 22002012110021 is an apocalyptic number.

2002012110021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002012110021 is a deficient number, since it is larger than the sum of its proper divisors (1351412805435).

2002012110021 is a wasteful number, since it uses less digits than its factorization.

2002012110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66158313.

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

Adding to 2002012110021 its reverse (1200112102002), we get a palindrome (3202124212023).

The spelling of 2002012110021 in words is "two trillion, two billion, twelve million, one hundred ten thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 131 231 393 917 1441 2751 4323 10087 30261 66158161 198474483 463107127 727739771 1389321381 2183219313 5094178397 8666719091 15282535191 26000157273 60667033637 95333910001 182001100911 286001730003 667337370007 2002012110021