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9041101313 = 17853762297
BaseRepresentation
bin10000110101110010…
…00100001000000001
3212100002102112102012
420122321010020001
5122004010220223
64053050102305
7440022043646
oct103271041001
925302375365
109041101313
11391a514262
121903a1a995
13b111411ba
1461aa73dcd
1537dae9c78
hex21ae44201

9041101313 has 8 divisors (see below), whose sum is σ = 9574205832. Its totient is φ = 8508138496.

The previous prime is 9041101297. The next prime is 9041101331. The reversal of 9041101313 is 3131011409.

9041101313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3472509184 + 5568592129 = 58928^2 + 74623^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9041101313 - 24 = 9041101297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9041101613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113981 + ... + 176277.

It is an arithmetic number, because the mean of its divisors is an integer number (1196775729).

Almost surely, 29041101313 is an apocalyptic number.

It is an amenable number.

9041101313 is a deficient number, since it is larger than the sum of its proper divisors (533104519).

9041101313 is a wasteful number, since it uses less digits than its factorization.

9041101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70851.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 9041101313 is about 95084.7059889234. The cubic root of 9041101313 is about 2083.2454660214.

The spelling of 9041101313 in words is "nine billion, forty-one million, one hundred one thousand, three hundred thirteen".

Divisors: 1 17 8537 62297 145129 1059049 531829489 9041101313