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2800088008213 is a prime number
BaseRepresentation
bin101000101111110010010…
…000000100011000010101
3100220200111221120212112011
4220233302100010120111
5331334040012230323
65542202003424221
7406204535235556
oct50576220043025
910820457525464
102800088008213
1198a568756441
12392813985071
1317407c8161c2
149974c7a432d
154cc83da620d
hex28bf2404615

2800088008213 has 2 divisors, whose sum is σ = 2800088008214. Its totient is φ = 2800088008212.

The previous prime is 2800088008087. The next prime is 2800088008231. The reversal of 2800088008213 is 3128008800082.

Together with next prime (2800088008231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2798801853444 + 1286154769 = 1672962^2 + 35863^2 .

It is a cyclic number.

It is not a de Polignac number, because 2800088008213 - 29 = 2800088007701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2800088048213) 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, 1400044004106 + 1400044004107.

It is an arithmetic number, because the mean of its divisors is an integer number (1400044004107).

Almost surely, 22800088008213 is an apocalyptic number.

It is an amenable number.

2800088008213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2800088008213 is an equidigital number, since it uses as much as digits as its factorization.

2800088008213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 2800088008213 in words is "two trillion, eight hundred billion, eighty-eight million, eight thousand, two hundred thirteen".