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11220330132 = 2232111032391151
BaseRepresentation
bin10100111001100100…
…01010011010010100
31001221222000211100200
422130302022122110
5140434401031012
65053214340500
7545023142514
oct123462123224
931858024320
1011220330132
114838647110
1222117ba730
13109a77c3cb
14786265844
1545a0b23dc
hex29cc8a694

11220330132 has 144 divisors (see below), whose sum is σ = 31399280640. Its totient is φ = 3350088000.

The previous prime is 11220330131. The next prime is 11220330151. The reversal of 11220330132 is 23103302211.

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 (11220330131) 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, 9747757 + ... + 9748907.

It is an arithmetic number, because the mean of its divisors is an integer number (218050560).

Almost surely, 211220330132 is an apocalyptic number.

11220330132 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 11220330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699640320).

11220330132 is an abundant number, since it is smaller than the sum of its proper divisors (20178950508).

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

11220330132 is a wasteful number, since it uses less digits than its factorization.

11220330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11220330132 its reverse (23103302211), we get a palindrome (34323632343).

The spelling of 11220330132 in words is "eleven billion, two hundred twenty million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 239 309 396 412 478 618 717 927 956 1133 1151 1236 1434 1854 2151 2266 2302 2629 2868 3399 3453 3708 4302 4532 4604 5258 6798 6906 7887 8604 10197 10359 10516 12661 13596 13812 15774 20394 20718 23661 24617 25322 31548 37983 40788 41436 47322 49234 50644 73851 75966 94644 98468 113949 118553 147702 151932 221553 227898 237106 270787 275089 295404 355659 443106 455796 474212 541574 550178 711318 812361 825267 886212 1066977 1083148 1100356 1304083 1422636 1624722 1650534 2133954 2437083 2475801 2608166 3025979 3249444 3301068 3912249 4267908 4874166 4951602 5216332 6051958 7824498 9077937 9748332 9903204 11736747 12103916 15648996 18155874 23473494 27233811 28334167 36311748 46946988 54467622 56668334 85002501 108935244 113336668 170005002 255007503 311675837 340010004 510015006 623351674 935027511 1020030012 1246703348 1870055022 2805082533 3740110044 5610165066 11220330132