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11032242030 = 2325536613499
BaseRepresentation
bin10100100011001001…
…01010011101101110
31001110212002221222200
422101210222131232
5140043223221110
65022415122330
7540250336635
oct122144523556
931425087880
1011032242030
11475145a7a7
12217a8133a6
13106a805c84
147692a451c
1544880c6c0
hex29192a76e

11032242030 has 96 divisors (see below), whose sum is σ = 29277612000. Its totient is φ = 2881232640.

The previous prime is 11032242029. The next prime is 11032242037. The reversal of 11032242030 is 3024223011.

11032242030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11032241994 and 11032242012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032242037) 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 47 ways as a sum of consecutive naturals, for example, 3151221 + ... + 3154719.

It is an arithmetic number, because the mean of its divisors is an integer number (304975125).

Almost surely, 211032242030 is an apocalyptic number.

11032242030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638806000).

11032242030 is an abundant number, since it is smaller than the sum of its proper divisors (18245369970).

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

11032242030 is a wasteful number, since it uses less digits than its factorization.

11032242030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11032242030 its reverse (3024223011), we get a palindrome (14056465041).

The spelling of 11032242030 in words is "eleven billion, thirty-two million, two hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 661 795 954 1322 1590 1983 2385 3305 3499 3966 4770 5949 6610 6998 9915 10497 11898 17495 19830 20994 29745 31491 34990 35033 52485 59490 62982 70066 104970 105099 157455 175165 185447 210198 314910 315297 350330 370894 525495 556341 630594 927235 1050990 1112682 1576485 1669023 1854470 2312839 2781705 3152970 3338046 4625678 5563410 6938517 8345115 11564195 13877034 16690230 20815551 23128390 34692585 41631102 69385170 104077755 122580467 208155510 245160934 367741401 612902335 735482802 1103224203 1225804670 1838707005 2206448406 3677414010 5516121015 11032242030