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11011100000 = 2555149739
BaseRepresentation
bin10100100000101000…
…00000110101100000
31001102101022211120112
422100110000311200
5140022320200000
65020342030452
7536602543235
oct122024006540
931371284515
1011011100000
11474052a44a
122173718428
131066312ab4
1476655d78c
15446a33235
hex290500d60

11011100000 has 144 divisors (see below), whose sum is σ = 27314658000. Its totient is φ = 4368960000.

The previous prime is 11011099997. The next prime is 11011100003. The reversal of 11011100000 is 111011.

It is an interprime number because it is at equal distance from previous prime (11011099997) and next prime (11011100003).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14899631 + ... + 14900369.

It is an arithmetic number, because the mean of its divisors is an integer number (189685125).

Almost surely, 211011100000 is an apocalyptic number.

11011100000 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 11011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657329000).

11011100000 is an abundant number, since it is smaller than the sum of its proper divisors (16303558000).

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

11011100000 is an frugal number, since it uses more digits than its factorization.

11011100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11011100000 its reverse (111011), we get a palindrome (11011211011).

The spelling of 11011100000 in words is "eleven billion, eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 625 739 745 800 1000 1192 1250 1478 1490 2000 2384 2500 2956 2980 3125 3695 3725 4000 4768 5000 5912 5960 6250 7390 7450 10000 11824 11920 12500 14780 14900 18475 18625 20000 23648 23840 25000 29560 29800 36950 37250 50000 59120 59600 73900 74500 92375 93125 100000 110111 118240 119200 147800 149000 184750 186250 220222 295600 298000 369500 372500 440444 461875 465625 550555 591200 596000 739000 745000 880888 923750 931250 1101110 1478000 1490000 1761776 1847500 1862500 2202220 2309375 2752775 2956000 2980000 3523552 3695000 3725000 4404440 4618750 5505550 7390000 7450000 8808880 9237500 11011100 13763875 14780000 14900000 17617760 18475000 22022200 27527750 36950000 44044400 55055500 68819375 73900000 88088800 110111000 137638750 220222000 275277500 344096875 440444000 550555000 688193750 1101110000 1376387500 2202220000 2752775000 5505550000 11011100000