Search a number
-
+
112000121002001 is a prime number
BaseRepresentation
bin11001011101110100001111…
…011011010101100000010001
3112200120002220000002011121202
4121131310033123111200101
5104140002221434031001
61034112051214200545
732406512256521261
oct3135641733254021
9480502800064552
10112000121002001
1132760a91517631
121068a459ab3155
134a6574892083b
141d92b988cb7a1
15ce35a814296b
hex65dd0f6d5811

112000121002001 has 2 divisors, whose sum is σ = 112000121002002. Its totient is φ = 112000121002000.

The previous prime is 112000121001983. The next prime is 112000121002009. The reversal of 112000121002001 is 100200121000211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96383208075025 + 15616912926976 = 9817495^2 + 3951824^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000121002001 - 222 = 112000116807697 is a prime.

It is not a weakly prime, because it can be changed into another prime (112000121002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000060501000 + 56000060501001.

It is an arithmetic number, because the mean of its divisors is an integer number (56000060501001).

Almost surely, 2112000121002001 is an apocalyptic number.

It is an amenable number.

112000121002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000121002001 is an equidigital number, since it uses as much as digits as its factorization.

112000121002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112000121002001 its reverse (100200121000211), we get a palindrome (212200242002212).

The spelling of 112000121002001 in words is "one hundred twelve trillion, one hundred twenty-one million, two thousand, one".