Search a number
-
+
2210331201121 is a prime number
BaseRepresentation
bin100000001010100010000…
…000011000111001100001
321211022020210002221010001
4200022202000120321201
5242203224241413441
64411225004340001
7315456032133661
oct40124200307141
97738223087101
102210331201121
1178243a38132a
122b8463544601
131305830743b4
1478da2aaa1a1
153c768433731
hex202a2018e61

2210331201121 has 2 divisors, whose sum is σ = 2210331201122. Its totient is φ = 2210331201120.

The previous prime is 2210331201119. The next prime is 2210331201131. The reversal of 2210331201121 is 1211021330122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1253416832721 + 956914368400 = 1119561^2 + 978220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210331201121 - 21 = 2210331201119 is a prime.

Together with 2210331201119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2210331201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105165600560 + 1105165600561.

It is an arithmetic number, because the mean of its divisors is an integer number (1105165600561).

Almost surely, 22210331201121 is an apocalyptic number.

It is an amenable number.

2210331201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210331201121 is an equidigital number, since it uses as much as digits as its factorization.

2210331201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2210331201121 its reverse (1211021330122), we get a palindrome (3421352531243).

The spelling of 2210331201121 in words is "two trillion, two hundred ten billion, three hundred thirty-one million, two hundred one thousand, one hundred twenty-one".