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11041423200 = 253352511177
BaseRepresentation
bin10100100100001111…
…01011111101100000
31001111111101102012000
422102013223331200
5140103101020300
65023344004000
7540421356123
oct122207537540
931444342160
1011041423200
114756660745
122181900600
13106c69bc12
1476a5b43ba
15449522c00
hex2921ebf60

11041423200 has 144 divisors (see below), whose sum is σ = 39933225360. Its totient is φ = 2944373760.

The previous prime is 11041423193. The next prime is 11041423223. The reversal of 11041423200 is 232414011.

11041423200 is a `hidden beast` number, since 1 + 1 + 0 + 41 + 423 + 200 = 666.

11041423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233989 + ... + 277188.

It is an arithmetic number, because the mean of its divisors is an integer number (277314065).

Almost surely, 211041423200 is an apocalyptic number.

11041423200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11041423200 is an abundant number, since it is smaller than the sum of its proper divisors (28891802160).

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

11041423200 is a wasteful number, since it uses less digits than its factorization.

11041423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511206 (or 511187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11041423200 its reverse (232414011), we get a palindrome (11273837211).

The spelling of 11041423200 in words is "eleven billion, forty-one million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 511177 1022354 1533531 2044708 2555885 3067062 4089416 4600593 5111770 6134124 7667655 8178832 9201186 10223540 12268248 12779425 13801779 15335310 16357664 18402372 20447080 23002965 24536496 25558850 27603558 30670620 36804744 38338275 40894160 46005930 49072992 51117700 55207116 61341240 69008895 73609488 76676550 81788320 92011860 102235400 110414232 115014825 122682480 138017790 147218976 153353100 184023720 204470800 220828464 230029650 245364960 276035580 306706200 345044475 368047440 408941600 441656928 460059300 552071160 613412400 690088950 736094880 920118600 1104142320 1226824800 1380177900 1840237200 2208284640 2760355800 3680474400 5520711600 11041423200