Search a number
-
+
2002112220931 is a prime number
BaseRepresentation
bin11101001000100111001…
…100000000111100000011
321002101210122100210100221
4131020213030000330003
5230300311212032211
64131431353123511
7264435131041414
oct35104714007403
97071718323327
102002112220931
11702100176719
122840333b9597
13116a4c040944
146cc8d1db80b
153712d65ac71
hex1d227300f03

2002112220931 has 2 divisors, whose sum is σ = 2002112220932. Its totient is φ = 2002112220930.

The previous prime is 2002112220883. The next prime is 2002112221027. The reversal of 2002112220931 is 1390222112002.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002112220931 is a prime.

It is a super-2 number, since 2×20021122209312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002112220896 and 2002112220905.

It is not a weakly prime, because it can be changed into another prime (2002112221931) 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 as a sum of consecutive naturals, namely, 1001056110465 + 1001056110466.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056110466).

Almost surely, 22002112220931 is an apocalyptic number.

2002112220931 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112220931 is an equidigital number, since it uses as much as digits as its factorization.

2002112220931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 2002112220931 its reverse (1390222112002), we get a palindrome (3392334332933).

The spelling of 2002112220931 in words is "two trillion, two billion, one hundred twelve million, two hundred twenty thousand, nine hundred thirty-one".