Search a number
-
+
2124968401 is a prime number
BaseRepresentation
bin111111010101000…
…0111000111010001
312111002111120122101
41332222013013101
513322442442101
6550505240401
7103441635103
oct17652070721
95432446571
102124968401
119a0542236
124b3793101
1327b32086a
14162309573
15c684a401
hex7ea871d1

2124968401 has 2 divisors, whose sum is σ = 2124968402. Its totient is φ = 2124968400.

The previous prime is 2124968389. The next prime is 2124968429. The reversal of 2124968401 is 1048694212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1341024400 + 783944001 = 36620^2 + 27999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124968401 - 211 = 2124966353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2124968471) 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, 1062484200 + 1062484201.

It is an arithmetic number, because the mean of its divisors is an integer number (1062484201).

Almost surely, 22124968401 is an apocalyptic number.

It is an amenable number.

2124968401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124968401 is an equidigital number, since it uses as much as digits as its factorization.

2124968401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2124968401 is about 46097.3795459135. The cubic root of 2124968401 is about 1285.6344227542.

The spelling of 2124968401 in words is "two billion, one hundred twenty-four million, nine hundred sixty-eight thousand, four hundred one".