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11213300011320 = 23325112257421947
BaseRepresentation
bin1010001100101100110011…
…0000111001000100111000
31110200222111011020221102200
42203023030300321010320
52432204314300330240
635503152515030200
72235064012312461
oct243131460710470
943628434227380
1011213300011320
113633596587500
12131126759b360
13634543017bc4
142aaa25b99d68
15146a3c592930
hexa32ccc39138

11213300011320 has 144 divisors (see below), whose sum is σ = 40057429328280. Its totient is φ = 2718375749760.

The previous prime is 11213300011301. The next prime is 11213300011343. The reversal of 11213300011320 is 2311000331211.

11213300011320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 330 + 0 + 0 + 11 + 320 = 666.

It is a super-2 number, since 2×112133000113202 (a number of 27 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 = 11213300011293 and 11213300011302.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 128667414 + ... + 128754533.

Almost surely, 211213300011320 is an apocalyptic number.

11213300011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213300011320 is an abundant number, since it is smaller than the sum of its proper divisors (28844129316960).

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

11213300011320 is a wasteful number, since it uses less digits than its factorization.

11213300011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257421986 (or 257421968 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11213300011320 its reverse (2311000331211), we get a palindrome (13524300342531).

The spelling of 11213300011320 in words is "eleven trillion, two hundred thirteen billion, three hundred million, eleven thousand, three 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 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 257421947 514843894 772265841 1029687788 1287109735 1544531682 2059375576 2316797523 2574219470 2831641417 3089063364 3861329205 4633595046 5148438940 5663282834 6178126728 7722658410 8494924251 9267190092 10296877880 11326565668 11583987615 14158207085 15445316820 16989848502 18534380184 22653131336 23167975230 25484772753 28316414170 30890633640 31148055587 33979697004 42474621255 46335950460 50969545506 56632828340 62296111174 67959394008 84949242510 92671900920 93444166761 101939091012 113265656680 124592222348 127423863765 155740277935 169898485020 186888333522 203878182024 249184444696 254847727530 280332500283 311480555870 339796970040 373776667044 467220833805 509695455060 560665000566 622961111740 747553334088 934441667610 1019390910120 1121330001132 1245922223480 1401662501415 1868883335220 2242660002264 2803325002830 3737766670440 5606650005660 11213300011320