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11100000001100 = 22522327111780187
BaseRepresentation
bin1010000110000110101110…
…0011101001110001001100
31110022011001002022002001212
42201201223203221301030
52423330300000013400
635335134122353552
72223643230155123
oct241415343516114
943264032262055
1011100000001100
11359a53569591a
1212b330765b8b8
13626957c3413a
142a53585d6aba
15143b0a8e4335
hexa186b8e9c4c

11100000001100 has 72 divisors (see below), whose sum is σ = 25143546210048. Its totient is φ = 4245387572800.

The previous prime is 11100000001093. The next prime is 11100000001243. The reversal of 11100000001100 is 110000000111.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345207 + ... + 7125393.

It is an arithmetic number, because the mean of its divisors is an integer number (349215919584).

Almost surely, 211100000001100 is an apocalyptic number.

11100000001100 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 11100000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571773105024).

11100000001100 is an abundant number, since it is smaller than the sum of its proper divisors (14043546208948).

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

11100000001100 is a wasteful number, since it uses less digits than its factorization.

11100000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782935 (or 1782928 counting only the distinct ones).

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

Adding to 11100000001100 its reverse (110000000111), we get a palindrome (11210000001211).

The spelling of 11100000001100 in words is "eleven trillion, one hundred billion, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2711 5422 10844 13555 27110 54220 62353 67775 124706 135550 249412 271100 311765 623530 1247060 1558825 1780187 3117650 3560374 6235300 7120748 8900935 17801870 35603740 40944301 44504675 81888602 89009350 163777204 178018700 204721505 409443010 818886020 1023607525 2047215050 4094430100 4826086957 9652173914 19304347828 24130434785 48260869570 96521739140 111000000011 120652173925 222000000022 241304347850 444000000044 482608695700 555000000055 1110000000110 2220000000220 2775000000275 5550000000550 11100000001100