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1002144404273 is a prime number
BaseRepresentation
bin11101001010101000111…
…01100001001100110001
310112210201011111110010112
432211110131201030301
5112404342431414043
62044213452311105
7132255033613355
oct16452435411461
93483634443115
101002144404273
11357009432631
12142280172495
137366a632acc
143670b171465
151b104b50518
hexe954761331

1002144404273 has 2 divisors, whose sum is σ = 1002144404274. Its totient is φ = 1002144404272.

The previous prime is 1002144404221. The next prime is 1002144404293. The reversal of 1002144404273 is 3724044412001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 958887475984 + 43256928289 = 979228^2 + 207983^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002144404273 - 236 = 933424927537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1002144404293) 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, 501072202136 + 501072202137.

It is an arithmetic number, because the mean of its divisors is an integer number (501072202137).

Almost surely, 21002144404273 is an apocalyptic number.

It is an amenable number.

1002144404273 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002144404273 is an equidigital number, since it uses as much as digits as its factorization.

1002144404273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 32.

Adding to 1002144404273 its reverse (3724044412001), we get a palindrome (4726188816274).

The spelling of 1002144404273 in words is "one trillion, two billion, one hundred forty-four million, four hundred four thousand, two hundred seventy-three".