Search a number
-
+
9999100001 = 111753471123
BaseRepresentation
bin10010100111111111…
…00010100001100001
3221210212001220120002
421103333202201201
5130434232200001
64332111225345
7502533643022
oct112377424141
927725056502
109999100001
11427125a910
121b30818255
13c34763927
146abdaac49
153d7c8146b
hex253fe2861

9999100001 has 8 divisors (see below), whose sum is σ = 11549762784. Its totient is φ = 8555379520.

The previous prime is 9999099991. The next prime is 9999100009. The reversal of 9999100001 is 1000019999.

It is a happy number.

9999100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 9999100001 - 214 = 9999083617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9999100009) 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 in 7 ways as a sum of consecutive naturals, for example, 26735375 + ... + 26735748.

It is an arithmetic number, because the mean of its divisors is an integer number (1443720348).

Almost surely, 29999100001 is an apocalyptic number.

It is an amenable number.

9999100001 is a deficient number, since it is larger than the sum of its proper divisors (1550662783).

9999100001 is a wasteful number, since it uses less digits than its factorization.

9999100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53471151.

The product of its (nonzero) digits is 6561, while the sum is 38.

The square root of 9999100001 is about 99995.4999037457. The cubic root of 9999100001 is about 2154.3700551239.

It can be divided in two parts, 9999 and 100001, that multiplied together give a palindrome (999909999).

The spelling of 9999100001 in words is "nine billion, nine hundred ninety-nine million, one hundred thousand, one".

Divisors: 1 11 17 187 53471123 588182353 909009091 9999100001