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9920911011 = 3112347713917
BaseRepresentation
bin10010011110101010…
…10001011010100011
3221121101221111102120
421033111101122203
5130304223123021
64320235315323
7500564231544
oct111725213243
927541844376
109920911011
114231106310
121b0a5abb43
13c214b895b
146a18564cb
153d0e892c6
hex24f5516a3

9920911011 has 64 divisors (see below), whose sum is σ = 15598780416. Its totient is φ = 5548188800.

The previous prime is 9920910959. The next prime is 9920911031. The reversal of 9920911011 is 1101190299.

9920911011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9920911011 - 218 = 9920648867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9920911031) 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 63 ways as a sum of consecutive naturals, for example, 2530825 + ... + 2534741.

It is an arithmetic number, because the mean of its divisors is an integer number (243730944).

Almost surely, 29920911011 is an apocalyptic number.

9920911011 is a deficient number, since it is larger than the sum of its proper divisors (5677869405).

9920911011 is a wasteful number, since it uses less digits than its factorization.

9920911011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 1458, while the sum is 33.

The square root of 9920911011 is about 99603.7700641898. The cubic root of 9920911011 is about 2148.7399150243.

The spelling of 9920911011 in words is "nine billion, nine hundred twenty million, nine hundred eleven thousand, eleven".

Divisors: 1 3 11 23 33 47 69 71 141 213 253 517 759 781 1081 1551 1633 2343 3243 3337 3917 4899 10011 11751 11891 17963 35673 36707 43087 53889 76751 90091 110121 129261 184099 230253 270273 278107 552297 834321 844261 991001 2025089 2532783 2973003 3059177 4234277 6075267 6396461 9177531 12702831 13071029 19189383 39213087 46577047 70361071 139731141 143781319 211083213 300633667 431343957 901901001 3306970337 9920911011