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11011000329 = 337317923789
BaseRepresentation
bin10100100000100111…
…01000100000001001
31001102101010202212000
422100103220200021
5140022304002304
65020335541213
7536601646530
oct122023504011
931371122760
1011011000329
11474047157a
12217368a809
1310662a9614
14766535317
15446a13939
hex2904e8809

11011000329 has 64 divisors (see below), whose sum is σ = 19488768000. Its totient is φ = 6011703360.

The previous prime is 11011000321. The next prime is 11011000331. The reversal of 11011000329 is 92300011011.

It is not a de Polignac number, because 11011000329 - 23 = 11011000321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450967 + ... + 474755.

It is an arithmetic number, because the mean of its divisors is an integer number (304512000).

Almost surely, 211011000329 is an apocalyptic number.

It is an amenable number.

11011000329 is a deficient number, since it is larger than the sum of its proper divisors (8477767671).

11011000329 is a wasteful number, since it uses less digits than its factorization.

11011000329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23915 (or 23909 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 11011000329 in words is "eleven billion, eleven million, three hundred twenty-nine", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 31 63 79 93 189 217 237 279 553 651 711 837 1659 1953 2133 2449 4977 5859 7347 14931 17143 22041 23789 51429 66123 71367 154287 166523 214101 462861 499569 642303 737459 1498707 1879331 2212377 4496121 5162213 5637993 6637131 13155317 15486639 16913979 19911393 39465951 46459917 50741937 58259261 118397853 139379751 174777783 355193559 407814827 524333349 1223444481 1573000047 3670333443 11011000329