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11031333012 = 223273113910159
BaseRepresentation
bin10100100011000010…
…01100100010010100
31001110210101210001100
422101201030202110
5140043010124022
65022343430100
7540236532510
oct122141144224
931423353040
1011031333012
114750999847
12217a455330
13106a5782ab
14769109140
154486cd1ac
hex29184c894

11031333012 has 144 divisors (see below), whose sum is σ = 33136230400. Its totient is φ = 3027896640.

The previous prime is 11031332999. The next prime is 11031333013. The reversal of 11031333012 is 21033313011.

It is a happy number.

11031333012 is a `hidden beast` number, since 1 + 10 + 313 + 330 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031333013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080789 + ... + 1090947.

Almost surely, 211031333012 is an apocalyptic number.

11031333012 is a gapful number since it is divisible by the number (12) 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 11031333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568115200).

11031333012 is an abundant number, since it is smaller than the sum of its proper divisors (22104897388).

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

11031333012 is a wasteful number, since it uses less digits than its factorization.

11031333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10341 counting only the distinct ones).

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

Adding to 11031333012 its reverse (21033313011), we get a palindrome (32064646023).

The spelling of 11031333012 in words is "eleven billion, thirty-one million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 139 186 217 252 278 279 372 417 434 556 558 651 834 868 973 1116 1251 1302 1668 1946 1953 2502 2604 2919 3892 3906 4309 5004 5838 7812 8618 8757 10159 11676 12927 17236 17514 20318 25854 30163 30477 35028 38781 40636 51708 60326 60954 71113 77562 90489 91431 120652 121908 142226 155124 180978 182862 213339 271467 284452 314929 361956 365724 426678 542934 629858 640017 853356 944787 1085868 1259716 1280034 1412101 1889574 2204503 2560068 2824202 2834361 3779148 4236303 4409006 5648404 5668722 6613509 8472606 8818012 9884707 11337444 12708909 13227018 16945212 19769414 19840527 25417818 26454036 29654121 39538828 39681054 43775131 50835636 59308242 79362108 87550262 88962363 118616484 131325393 175100524 177924726 262650786 306425917 355849452 393976179 525301572 612851834 787952358 919277751 1225703668 1575904716 1838555502 2757833253 3677111004 5515666506 11031333012