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5109202217 = 7219922633
BaseRepresentation
bin1001100001000100…
…00011110100101001
3111012001212100211202
410300202003310221
540430423432332
62202551533545
7240416334200
oct46042036451
914161770752
105109202217
112192014279
12ba708a2b5
13635674aa2
143667aa237
151ed827a62
hex130883d29

5109202217 has 18 divisors (see below), whose sum is σ = 5975642538. Its totient is φ = 4355654688.

The previous prime is 5109202213. The next prime is 5109202229. The reversal of 5109202217 is 7122029015.

It can be written as a sum of positive squares in only one way, i.e., 3587890201 + 1521312016 = 59899^2 + 39004^2 .

It is not a de Polignac number, because 5109202217 - 22 = 5109202213 is a prime.

It is a super-2 number, since 2×51092022172 = 52207894588395430178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5109202217.

It is not an unprimeable number, because it can be changed into a prime (5109202213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1939133 + ... + 1941765.

It is an arithmetic number, because the mean of its divisors is an integer number (331980141).

Almost surely, 25109202217 is an apocalyptic number.

It is an amenable number.

5109202217 is a deficient number, since it is larger than the sum of its proper divisors (866440321).

5109202217 is an equidigital number, since it uses as much as digits as its factorization.

5109202217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 5109202217 is about 71478.6836546393. The cubic root of 5109202217 is about 1722.3352785369.

The spelling of 5109202217 in words is "five billion, one hundred nine million, two hundred two thousand, two hundred seventeen".

Divisors: 1 7 49 199 1393 2633 9751 18431 39601 129017 277207 523967 1940449 3667769 25674383 104269433 729886031 5109202217