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11022330330 = 23251135931013
BaseRepresentation
bin10100100001111101…
…10110100111011010
31001110011110101200200
422100332312213122
5140033204032310
65021422443030
7540100155564
oct122076664732
931404411620
1011022330330
1147468aaa10
122177433476
13106874566b
14767c44334
15447a009c0
hex290fb69da

11022330330 has 96 divisors (see below), whose sum is σ = 31351432320. Its totient is φ = 2664551040.

The previous prime is 11022330329. The next prime is 11022330379. The reversal of 11022330330 is 3303322011.

11022330330 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 330 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339904 + ... + 370916.

It is an arithmetic number, because the mean of its divisors is an integer number (326577420).

Almost surely, 211022330330 is an apocalyptic number.

11022330330 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 11022330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675716160).

11022330330 is an abundant number, since it is smaller than the sum of its proper divisors (20329101990).

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

11022330330 is a wasteful number, since it uses less digits than its factorization.

11022330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31396 (or 31393 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11022330330 its reverse (3303322011), we get a palindrome (14325652341).

The spelling of 11022330330 in words is "eleven billion, twenty-two million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 359 495 718 990 1077 1795 2154 3231 3590 3949 5385 6462 7898 10770 11847 16155 19745 23694 31013 32310 35541 39490 59235 62026 71082 93039 118470 155065 177705 186078 279117 310130 341143 355410 465195 558234 682286 930390 1023429 1395585 1705715 2046858 2791170 3070287 3411430 5117145 6140574 10234290 11133667 15351435 22267334 30702870 33401001 55668335 66802002 100203003 111336670 122470337 167005005 200406006 244940674 334010010 367411011 501015015 612351685 734822022 1002030030 1102233033 1224703370 1837055055 2204466066 3674110110 5511165165 11022330330