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1004122132009 is a prime number
BaseRepresentation
bin11101001110010100101…
…01111100111000101001
310112222210222221102112221
432213022111330320221
5112422420231211014
62045142022034041
7132355040203423
oct16471225747051
93488728842487
101004122132009
11357933847767
12142732578921
13738c42ac6c9
1436857aad813
151b1bd5b3b24
hexe9ca57ce29

1004122132009 has 2 divisors, whose sum is σ = 1004122132010. Its totient is φ = 1004122132008.

The previous prime is 1004122131953. The next prime is 1004122132019. The reversal of 1004122132009 is 9002312214001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900601000000 + 103521132009 = 949000^2 + 321747^2 .

It is an emirp because it is prime and its reverse (9002312214001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004122132009 - 223 = 1004113743401 is a prime.

It is a super-2 number, since 2×10041221320092 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1004122132019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502061066004 + 502061066005.

It is an arithmetic number, because the mean of its divisors is an integer number (502061066005).

Almost surely, 21004122132009 is an apocalyptic number.

It is an amenable number.

1004122132009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004122132009 is an equidigital number, since it uses as much as digits as its factorization.

1004122132009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 1004122132009 in words is "one trillion, four billion, one hundred twenty-two million, one hundred thirty-two thousand, nine".