Search a number
-
+
2002111101127 is a prime number
BaseRepresentation
bin11101001000100111000…
…111101111100011000111
321002101210120020220021201
4131020213013233203013
5230300310420214002
64131431313123331
7264435115365604
oct35104707574307
97071716226251
102002111101127
117020aa581365
12284032b59547
13116a4ba3b037
146cc8cdc96ab
153712d4d9087
hex1d2271ef8c7

2002111101127 has 2 divisors, whose sum is σ = 2002111101128. Its totient is φ = 2002111101126.

The previous prime is 2002111101073. The next prime is 2002111101161. The reversal of 2002111101127 is 7211011112002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2002111101127 - 231 = 1999963617479 is a prime.

It is a super-3 number, since 3×20021111011273 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002111101167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055550563 + 1001055550564.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055550564).

Almost surely, 22002111101127 is an apocalyptic number.

2002111101127 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111101127 is an equidigital number, since it uses as much as digits as its factorization.

2002111101127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 2002111101127 its reverse (7211011112002), we get a palindrome (9213122213129).

The spelling of 2002111101127 in words is "two trillion, two billion, one hundred eleven million, one hundred one thousand, one hundred twenty-seven".