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11032221000 = 233533739859
BaseRepresentation
bin10100100011001001…
…00101010101001000
31001110212001220010210
422101210211111020
5140043222033000
65022414441120
7540250221423
oct122144452510
931425056123
1011032221000
114751445a19
12217a8031a0
13106a7c9528
1476929a9ba
15448806350
hex291925548

11032221000 has 128 divisors (see below), whose sum is σ = 34516310400. Its totient is φ = 2933740800.

The previous prime is 11032220999. The next prime is 11032221049. The reversal of 11032221000 is 12223011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114071 + ... + 1123929.

It is an arithmetic number, because the mean of its divisors is an integer number (269658675).

Almost surely, 211032221000 is an apocalyptic number.

11032221000 is a gapful number since it is divisible by the number (10) 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 11032221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258155200).

11032221000 is an abundant number, since it is smaller than the sum of its proper divisors (23484089400).

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

11032221000 is a wasteful number, since it uses less digits than its factorization.

11032221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11032221000 its reverse (12223011), we get a palindrome (11044444011).

The spelling of 11032221000 in words is "eleven billion, thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 373 375 500 600 746 750 1000 1119 1492 1500 1865 2238 2984 3000 3730 4476 5595 7460 8952 9325 9859 11190 14920 18650 19718 22380 27975 29577 37300 39436 44760 46625 49295 55950 59154 74600 78872 93250 98590 111900 118308 139875 147885 186500 197180 223800 236616 246475 279750 295770 373000 394360 492950 559500 591540 739425 985900 1119000 1183080 1232375 1478850 1971800 2464750 2957700 3677407 3697125 4929500 5915400 7354814 7394250 9859000 11032221 14709628 14788500 18387035 22064442 29419256 29577000 36774070 44128884 55161105 73548140 88257768 91935175 110322210 147096280 183870350 220644420 275805525 367740700 441288840 459675875 551611050 735481400 919351750 1103222100 1379027625 1838703500 2206444200 2758055250 3677407000 5516110500 11032221000