Search a number
-
+
2123010401 is a prime number
BaseRepresentation
bin111111010001010…
…1001000101100001
312110221211002202212
41332202221011201
513321442313101
6550355251505
7103416201461
oct17642510541
95427732685
102123010401
1199a425156
124b2ba9b95
1327aab6595
14161d59ba1
15c65b01bb
hex7e8a9161

2123010401 has 2 divisors, whose sum is σ = 2123010402. Its totient is φ = 2123010400.

The previous prime is 2123010397. The next prime is 2123010403. The reversal of 2123010401 is 1040103212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210970401 + 912040000 = 34799^2 + 30200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123010401 - 22 = 2123010397 is a prime.

Together with 2123010403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2123010403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061505200 + 1061505201.

It is an arithmetic number, because the mean of its divisors is an integer number (1061505201).

Almost surely, 22123010401 is an apocalyptic number.

It is an amenable number.

2123010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123010401 is an equidigital number, since it uses as much as digits as its factorization.

2123010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2123010401 is about 46076.1370017062. The cubic root of 2123010401 is about 1285.2394293112.

Adding to 2123010401 its reverse (1040103212), we get a palindrome (3163113613).

The spelling of 2123010401 in words is "two billion, one hundred twenty-three million, ten thousand, four hundred one".