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11130221100132 = 22335211324114939
BaseRepresentation
bin1010000111110111010011…
…0111111111110001100100
31110102001001020121222022000
42201331310313333301210
52424324143100201012
635401053013405300
72226063153235431
oct241756467776144
943361036558260
1011130221100132
113601333712922
1212b9140639830
1362976305cc64
142a69c4156b88
151447c8b43ddc
hexa1f74dffc64

11130221100132 has 96 divisors (see below), whose sum is σ = 28915633756800. Its totient is φ = 3702425126400.

The previous prime is 11130221100107. The next prime is 11130221100133. The reversal of 11130221100132 is 23100112203111.

11130221100132 is a `hidden beast` number, since 111 + 302 + 21 + 100 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11130221100133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745037119 + ... + 745052057.

It is an arithmetic number, because the mean of its divisors is an integer number (301204518300).

Almost surely, 211130221100132 is an apocalyptic number.

11130221100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11130221100132 is an abundant number, since it is smaller than the sum of its proper divisors (17785412656668).

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

11130221100132 is a wasteful number, since it uses less digits than its factorization.

11130221100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28714 (or 28706 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11130221100132 its reverse (23100112203111), we get a palindrome (34230333303243).

The spelling of 11130221100132 in words is "eleven trillion, one hundred thirty billion, two hundred twenty-one million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 521 1042 1563 2084 3126 4689 6252 9378 13241 14067 14939 18756 26482 28134 29878 39723 44817 52964 56268 59756 79446 89634 119169 134451 158892 179268 238338 268902 357507 403353 476676 537804 715014 806706 1430028 1613412 6898561 7783219 13797122 15566438 20695683 23349657 27594244 31132876 41391366 46699314 62087049 70048971 82782732 93398628 124174098 140097942 186261147 197807299 210146913 248348196 280195884 372522294 395614598 420293826 593421897 745044588 791229196 840587652 1186843794 1780265691 2373687588 3560531382 5340797073 7121062764 10681594146 21363188292 103057602779 206115205558 309172808337 412230411116 618345616674 927518425011 1236691233348 1855036850022 2782555275033 3710073700044 5565110550066 11130221100132