Search a number
-
+
10929600011 = 112965951991
BaseRepresentation
bin10100010110111010…
…00111011000001011
31001012200222012121102
422023131013120023
5134340434200021
65004311132015
7534563032031
oct121335073013
931180865542
1010929600011
1146a9524290
12215037400b
131052478a55
147597c6551
1543e7d500b
hex28b74760b

10929600011 has 16 divisors (see below), whose sum is σ = 12353299200. Its totient is φ = 9578637600.

The previous prime is 10929600001. The next prime is 10929600029. The reversal of 10929600011 is 11000692901.

10929600011 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 10929600011 - 226 = 10862491147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10929600001) 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, 184226 + ... + 236216.

It is an arithmetic number, because the mean of its divisors is an integer number (772081200).

Almost surely, 210929600011 is an apocalyptic number.

10929600011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10929600011 is a deficient number, since it is larger than the sum of its proper divisors (1423699189).

10929600011 is a wasteful number, since it uses less digits than its factorization.

10929600011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52690.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10929600011 in words is "ten billion, nine hundred twenty-nine million, six hundred thousand, eleven".

Divisors: 1 11 29 319 659 7249 19111 51991 210221 571901 1507739 16585129 34262069 376882759 993600001 10929600011