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11000111101100 = 225211229101310379
BaseRepresentation
bin1010000000010010100110…
…1101101111010010101100
31102221121012122201012100222
42200010221231233102230
52420211211420213400
635221214204510512
72213506002422252
oct240045155572254
942847178635328
1011000111101100
113561136a42900
121297a8ab4b438
1361a3c9453654
142a05a02165d2
15141211303185
hexa0129b6f4ac

11000111101100 has 216 divisors, whose sum is σ = 27411104170800. Its totient is φ = 3823856960000.

The previous prime is 11000111101027. The next prime is 11000111101103. The reversal of 11000111101100 is 110111100011.

It is not an unprimeable number, because it can be changed into a prime (11000111101103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35285711 + ... + 35596089.

It is an arithmetic number, because the mean of its divisors is an integer number (126903260050).

Almost surely, 211000111101100 is an apocalyptic number.

11000111101100 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 11000111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705552085400).

11000111101100 is an abundant number, since it is smaller than the sum of its proper divisors (16410993069700).

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

11000111101100 is a wasteful number, since it uses less digits than its factorization.

11000111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310545 (or 310527 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11000111101100 its reverse (110111100011), we get a palindrome (11110222201111).

The spelling of 11000111101100 in words is "eleven trillion, one hundred eleven million, one hundred one thousand, one hundred".