Search a number
-
+
2114040001 is a prime number
BaseRepresentation
bin111111000000001…
…1011000011000001
312110022221100200211
41332000123003001
513312143240001
6545435114121
7103250020633
oct17600330301
95408840624
102114040001
119953585a7
124abba2941
13278c95558
14160aa2a53
15c58dc351
hex7e01b0c1

2114040001 has 2 divisors, whose sum is σ = 2114040002. Its totient is φ = 2114040000.

The previous prime is 2114039987. The next prime is 2114040023. The reversal of 2114040001 is 1000404112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1584119601 + 529920400 = 39801^2 + 23020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114040001 - 25 = 2114039969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2114020001) 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, 1057020000 + 1057020001.

It is an arithmetic number, because the mean of its divisors is an integer number (1057020001).

Almost surely, 22114040001 is an apocalyptic number.

It is an amenable number.

2114040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114040001 is an equidigital number, since it uses as much as digits as its factorization.

2114040001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2114040001 is about 45978.6907273359. The cubic root of 2114040001 is about 1283.4266908116.

Adding to 2114040001 its reverse (1000404112), we get a palindrome (3114444113).

The spelling of 2114040001 in words is "two billion, one hundred fourteen million, forty thousand, one".