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11000323092 = 223113113120521
BaseRepresentation
bin10100011111010101…
…11001110000010100
31001101122001022102210
422033222321300110
5140012040314332
65015315033420
7536412126543
oct121752716024
931348038383
1011000323092
114735439610
12216bb9b870
13106400b725
14764d5615a
15445b04ecc
hex28fab9c14

11000323092 has 96 divisors (see below), whose sum is σ = 29126135808. Its totient is φ = 3201120000.

The previous prime is 11000323043. The next prime is 11000323111. The reversal of 11000323092 is 29032300011.

It is a happy number.

11000323092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 525792 + ... + 546312.

It is an arithmetic number, because the mean of its divisors is an integer number (303397248).

Almost surely, 211000323092 is an apocalyptic number.

11000323092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000323092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563067904).

11000323092 is an abundant number, since it is smaller than the sum of its proper divisors (18125812716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000323092 is a wasteful number, since it uses less digits than its factorization.

11000323092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20701 (or 20699 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The spelling of 11000323092 in words is "eleven billion, three hundred twenty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 131 132 186 262 341 372 393 524 682 786 1023 1364 1441 1572 2046 2882 4061 4092 4323 5764 8122 8646 12183 16244 17292 20521 24366 41042 44671 48732 61563 82084 89342 123126 134013 178684 225731 246252 268026 451462 536052 636151 677193 902924 1272302 1354386 1908453 2544604 2688251 2708772 3816906 5376502 6997661 7633812 8064753 10753004 13995322 16129506 20992983 27990644 29570761 32259012 41985966 59141522 83335781 83971932 88712283 118283044 166671562 177424566 250007343 333343124 354849132 500014686 916693591 1000029372 1833387182 2750080773 3666774364 5500161546 11000323092