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10010000099 = 113132299091
BaseRepresentation
bin10010101001010010…
…00111101011100011
3221211121120200200102
421110221013223203
5131000030000344
64333141013015
7503025411521
oct112451075343
927747520612
1010010000099
114277425260
121b343b416b
13c36aac0a8
146ad607311
153d8bd5e4e
hex254a47ae3

10010000099 has 16 divisors (see below), whose sum is σ = 11276989440. Its totient is φ = 8802756000.

The previous prime is 10010000059. The next prime is 10010000111. The reversal of 10010000099 is 99000001001.

10010000099 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010000099 - 232 = 5715032803 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 10010000099.

It is not an unprimeable number, because it can be changed into a prime (10010000029) 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 15 ways as a sum of consecutive naturals, for example, 1096544 + ... + 1105634.

It is an arithmetic number, because the mean of its divisors is an integer number (704811840).

Almost surely, 210010000099 is an apocalyptic number.

10010000099 is a deficient number, since it is larger than the sum of its proper divisors (1266989341).

10010000099 is a wasteful number, since it uses less digits than its factorization.

10010000099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362.

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 10010000099 in words is "ten billion, ten million, ninety-nine", and thus it is an aban number and an uban number.

Divisors: 1 11 31 341 3229 9091 35519 100001 100099 281821 1101089 3100031 29354839 322903229 910000009 10010000099