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2123201137 is a prime number
BaseRepresentation
bin111111010001101…
…0111101001110001
312110222011210102011
41332203113221301
513322014414022
6550403322521
7103420624531
oct17643275161
95428153364
102123201137
1199a545492
124b3080441
1327ab52345
14161da94c1
15c65eb977
hex7e8d7a71

2123201137 has 2 divisors, whose sum is σ = 2123201138. Its totient is φ = 2123201136.

The previous prime is 2123201071. The next prime is 2123201141. The reversal of 2123201137 is 7311023212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1698181681 + 425019456 = 41209^2 + 20616^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123201137 - 219 = 2122676849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123201167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061600568 + 1061600569.

It is an arithmetic number, because the mean of its divisors is an integer number (1061600569).

Almost surely, 22123201137 is an apocalyptic number.

It is an amenable number.

2123201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123201137 is an equidigital number, since it uses as much as digits as its factorization.

2123201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2123201137 is about 46078.2067467908. The cubic root of 2123201137 is about 1285.2779177530.

Adding to 2123201137 its reverse (7311023212), we get a palindrome (9434224349).

The spelling of 2123201137 in words is "two billion, one hundred twenty-three million, two hundred one thousand, one hundred thirty-seven".