Search a number
-
+
9010011000011 = 712377717134837
BaseRepresentation
bin1000001100011100111010…
…0000010100110011001011
31011220100102011021022122112
42003013032200110303023
52140110000304000021
631055050353012535
71616644320603230
oct203071640246313
934810364238575
109010011000011
11296414035665a
12101624a55414b
13504842c2bc38
142321304ad787
1510958750dd5b
hex831ce814ccb

9010011000011 has 16 divisors (see below), whose sum is σ = 10306891590336. Its totient is φ = 7715566175616.

The previous prime is 9010010999989. The next prime is 9010011000019. The reversal of 9010011000011 is 1100001100109.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9010011000011 - 214 = 9010010983627 is a prime.

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 9010011000011.

It is not an unprimeable number, because it can be changed into a prime (9010011000019) 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 in 15 ways as a sum of consecutive naturals, for example, 66754085 + ... + 66888921.

It is an arithmetic number, because the mean of its divisors is an integer number (644180724396).

Almost surely, 29010011000011 is an apocalyptic number.

9010011000011 is a deficient number, since it is larger than the sum of its proper divisors (1296880590325).

9010011000011 is a wasteful number, since it uses less digits than its factorization.

9010011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143798.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 9010011000011 in words is "nine trillion, ten billion, eleven million, eleven", and thus it is an aban number and an uban number.

Divisors: 1 7 1237 7717 8659 54019 134837 943859 9545929 66821503 166793369 1040537129 1167553583 7283759903 1287144428573 9010011000011