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11041113200 = 2452132392317
BaseRepresentation
bin10100100100001101…
…00000010001110000
31001111110210122221112
422102012200101300
5140103011110300
65023333212452
7540415625255
oct122206402160
931443718845
1011041113200
114756469847
122181791128
13106c5c0aa0
1476a53342c
154494b0e35
hex2921a0470

11041113200 has 120 divisors (see below), whose sum is σ = 29809112928. Its totient is φ = 3899427840.

The previous prime is 11041113157. The next prime is 11041113221. The reversal of 11041113200 is 231114011.

It is a super-4 number, since 4×110411132004 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73442 + ... + 165758.

Almost surely, 211041113200 is an apocalyptic number.

11041113200 is a gapful number since it is divisible by the number (10) 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 11041113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904556464).

11041113200 is an abundant number, since it is smaller than the sum of its proper divisors (18767999728).

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

11041113200 is a wasteful number, since it uses less digits than its factorization.

11041113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92371 (or 92360 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11041113200 its reverse (231114011), we get a palindrome (11272227211).

The spelling of 11041113200 in words is "eleven billion, forty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 130 184 200 208 230 260 299 325 368 400 460 520 575 598 650 920 1040 1150 1196 1300 1495 1840 2300 2392 2600 2990 4600 4784 5200 5980 7475 9200 11960 14950 23920 29900 59800 92317 119600 184634 369268 461585 738536 923170 1200121 1477072 1846340 2123291 2307925 2400242 3692680 4246582 4615850 4800484 6000605 7385360 8493164 9231700 9600968 10616455 12001210 16986328 18463400 19201936 21232910 24002420 27602783 30003025 33972656 36926800 42465820 48004840 53082275 55205566 60006050 84931640 96009680 106164550 110411132 120012100 138013915 169863280 212329100 220822264 240024200 276027830 424658200 441644528 480048400 552055660 690069575 849316400 1104111320 1380139150 2208222640 2760278300 5520556600 11041113200