Search a number
-
+
2002112000197 = 4194778310263
BaseRepresentation
bin11101001000100111001…
…011001011000011000101
321002101210121221120120121
4131020213023023003011
5230300311133001242
64131431344301541
7264435126132031
oct35104713130305
97071717846517
102002112000197
117021000358a1
122840333118b1
13116a4bc9432a
146cc8d1811c1
153712d615667
hex1d2272cb0c5

2002112000197 has 4 divisors (see below), whose sum is σ = 2006890310880. Its totient is φ = 1997333689516.

The previous prime is 2002112000167. The next prime is 2002112000243. The reversal of 2002112000197 is 7910002112002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002112000197 is a prime.

It is a super-2 number, since 2×20021120001972 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002112000117) 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 3 ways as a sum of consecutive naturals, for example, 2389154713 + ... + 2389155550.

It is an arithmetic number, because the mean of its divisors is an integer number (501722577720).

Almost surely, 22002112000197 is an apocalyptic number.

It is an amenable number.

2002112000197 is a deficient number, since it is larger than the sum of its proper divisors (4778310683).

2002112000197 is an equidigital number, since it uses as much as digits as its factorization.

2002112000197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778310682.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 2002112000197 its reverse (7910002112002), we get a palindrome (9912114112199).

The spelling of 2002112000197 in words is "two trillion, two billion, one hundred twelve million, one hundred ninety-seven", and thus it is an aban number.

Divisors: 1 419 4778310263 2002112000197