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11331330120 = 23325112861447
BaseRepresentation
bin10101000110110011…
…00110000001001000
31002020200220012201100
422203121212001020
5141201310030440
65112221421400
7550541500605
oct124331460110
932220805640
1011331330120
114895271040
122242a0a860
1310b7774986
14796cbb6ac
15464bdb230
hex2a3666048

11331330120 has 96 divisors (see below), whose sum is σ = 40174729920. Its totient is φ = 2746988160.

The previous prime is 11331330107. The next prime is 11331330193. The reversal of 11331330120 is 2103313311.

It is a happy number.

11331330120 is a `hidden beast` number, since 1 + 1 + 331 + 330 + 1 + 2 + 0 = 666.

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 = 11331330093 and 11331330102.

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 23 ways as a sum of consecutive naturals, for example, 1426764 + ... + 1434683.

It is an arithmetic number, because the mean of its divisors is an integer number (418486770).

Almost surely, 211331330120 is an apocalyptic number.

11331330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331330120 is an abundant number, since it is smaller than the sum of its proper divisors (28843399800).

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

11331330120 is a wasteful number, since it uses less digits than its factorization.

11331330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861475 (or 2861468 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331330120 its reverse (2103313311), we get a palindrome (13434643431).

The spelling of 11331330120 in words is "eleven billion, three hundred thirty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2861447 5722894 8584341 11445788 14307235 17168682 22891576 25753023 28614470 31475917 34337364 42921705 51506046 57228940 62951834 68674728 85843410 94427751 103012092 114457880 125903668 128765115 157379585 171686820 188855502 206024184 251807336 257530230 283283253 314759170 343373640 377711004 472138755 515060460 566566506 629518340 755422008 944277510 1030120920 1133133012 1259036680 1416416265 1888555020 2266266024 2832832530 3777110040 5665665060 11331330120