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1002000120041 is a prime number
BaseRepresentation
bin11101001010010111101…
…11000111100011101001
310112210100010000001101002
432211023313013203221
5112404044012320131
62044151300004345
7132251332330544
oct16451367074351
93483303001332
101002000120041
11356a44a44768
1214223b9906b5
137364678571b
14366d5d3385b
151b0e714e6cb
hexe94bdc78e9

1002000120041 has 2 divisors, whose sum is σ = 1002000120042. Its totient is φ = 1002000120040.

The previous prime is 1002000120001. The next prime is 1002000120119. The reversal of 1002000120041 is 1400210002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 698889312016 + 303110808025 = 835996^2 + 550555^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002000120041 - 210 = 1002000119017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002000120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000060020 + 501000060021.

It is an arithmetic number, because the mean of its divisors is an integer number (501000060021).

Almost surely, 21002000120041 is an apocalyptic number.

It is an amenable number.

1002000120041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000120041 is an equidigital number, since it uses as much as digits as its factorization.

1002000120041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002000120041 its reverse (1400210002001), we get a palindrome (2402210122042).

The spelling of 1002000120041 in words is "one trillion, two billion, one hundred twenty thousand, forty-one".