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11113330032 = 2433717216179
BaseRepresentation
bin10100101100110011…
…11111010101110000
31001200111200122211000
422112121333111300
5140230003030112
65034433122000
7542253514050
oct122631772560
931614618730
1011113330032
114793204382
1221a19b9300
13108155763c
14775d71560
154509c87dc
hex29667f570

11113330032 has 160 divisors (see below), whose sum is σ = 38601100800. Its totient is φ = 2988444672.

The previous prime is 11113329973. The next prime is 11113330037. The reversal of 11113330032 is 23003331111.

It is a happy number.

It is a super-2 number, since 2×111133300322 (a number of 21 digits) contains 22 as substring.

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 = 11113329987 and 11113330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113330037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56682 + ... + 159497.

It is an arithmetic number, because the mean of its divisors is an integer number (241256880).

Almost surely, 211113330032 is an apocalyptic number.

11113330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11113330032 is an abundant number, since it is smaller than the sum of its proper divisors (27487770768).

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

11113330032 is a wasteful number, since it uses less digits than its factorization.

11113330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216220 (or 216208 counting only the distinct ones).

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

Adding to 11113330032 its reverse (23003331111), we get a palindrome (34116661143).

The spelling of 11113330032 in words is "eleven billion, one hundred thirteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 216179 432358 648537 864716 1297074 1513253 1729432 1945611 2594148 3026506 3458864 3675043 3891222 4539759 5188296 5836833 6053012 7350086 7782444 9079518 10376592 11025129 11673666 12106024 13619277 14700172 15564888 18159036 22050258 23347332 24212048 25725301 27238554 29400344 31129776 33075387 36318072 40857831 44100516 46694664 51450602 54477108 58800688 66150774 72636144 77175903 81715662 88201032 93389328 99226161 102901204 108954216 132301548 154351806 163431324 176402064 198452322 205802408 217908432 231527709 264603096 308703612 326862648 396904644 411604816 463055418 529206192 617407224 653725296 694583127 793809288 926110836 1234814448 1389166254 1587618576 1852221672 2778332508 3704443344 5556665016 11113330032