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11033230120 = 2351126013793
BaseRepresentation
bin10100100011010000…
…11011101100101000
31001110220222011101121
422101220123230220
5140044001330440
65022452225024
7540261623443
oct122150335450
931426864347
1011033230120
114751a75100
12217b00b174
13106aa90943
1476948065a
1544895534a
hex291a1bb28

11033230120 has 96 divisors (see below), whose sum is σ = 27339336360. Its totient is φ = 4004352000.

The previous prime is 11033230079. The next prime is 11033230151. The reversal of 11033230120 is 2103233011.

It can be written as a sum of positive squares in 4 ways, for example, as 8953322884 + 2079907236 = 94622^2 + 45606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11033230094 and 11033230103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906944 + ... + 2910736.

Almost surely, 211033230120 is an apocalyptic number.

11033230120 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 11033230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669668180).

11033230120 is an abundant number, since it is smaller than the sum of its proper divisors (16306106240).

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

11033230120 is a wasteful number, since it uses less digits than its factorization.

11033230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11033230120 its reverse (2103233011), we get a palindrome (13136463131).

The spelling of 11033230120 in words is "eleven billion, thirty-three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 601 605 968 1202 1210 2404 2420 3005 3793 4808 4840 6010 6611 7586 12020 13222 15172 18965 24040 26444 30344 33055 37930 41723 52888 66110 72721 75860 83446 132220 145442 151720 166892 208615 264440 290884 333784 363605 417230 458953 581768 727210 834460 917906 1454420 1668920 1835812 2279593 2294765 2908840 3671624 4559186 4589530 9118372 9179060 11397965 18236744 18358120 22795930 25075523 45591860 50151046 91183720 100302092 125377615 200604184 250755230 275830753 501510460 551661506 1003020920 1103323012 1379153765 2206646024 2758307530 5516615060 11033230120