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4114000201 is a prime number
BaseRepresentation
bin1111010100110110…
…1010100101001001
3101121201012212022211
43311031222211021
531411141001301
61520121145121
7203643265453
oct36515524511
911551185284
104114000201
111821278273
1296992b1a1
1350742775c
142b054b2d3
15191293051
hexf536a949

4114000201 has 2 divisors, whose sum is σ = 4114000202. Its totient is φ = 4114000200.

The previous prime is 4114000183. The next prime is 4114000249. The reversal of 4114000201 is 1020004114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2489910201 + 1624090000 = 49899^2 + 40300^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114000201 - 211 = 4113998153 is a prime.

It is not a weakly prime, because it can be changed into another prime (4114000601) 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, 2057000100 + 2057000101.

It is an arithmetic number, because the mean of its divisors is an integer number (2057000101).

Almost surely, 24114000201 is an apocalyptic number.

It is an amenable number.

4114000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114000201 is an equidigital number, since it uses as much as digits as its factorization.

4114000201 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 4114000201 is about 64140.4724101717. The cubic root of 4114000201 is about 1602.3403512254.

Adding to 4114000201 its reverse (1020004114), we get a palindrome (5134004315).

The spelling of 4114000201 in words is "four billion, one hundred fourteen million, two hundred one", and thus it is an aban number.