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11100000100 = 2252723689441
BaseRepresentation
bin10100101011001110…
…01000111101100100
31001122120121102120211
422111213020331210
5140213100000400
65033235305204
7542032305220
oct122547107544
931576542524
1011100000100
11478672a402
12219944b204
13107b86b1c7
147742a1780
1544e743dba
hex2959c8f64

11100000100 has 72 divisors (see below), whose sum is σ = 28724911488. Its totient is φ = 3640243200.

The previous prime is 11100000097. The next prime is 11100000101. The reversal of 11100000100 is 100000111.

11100000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 11100000100.

It is not an unprimeable number, because it can be changed into a prime (11100000101) by changing a digit.

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, 328621 + ... + 360820.

It is an arithmetic number, because the mean of its divisors is an integer number (398957104).

Almost surely, 211100000100 is an apocalyptic number.

11100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100000100 is an abundant number, since it is smaller than the sum of its proper divisors (17624911388).

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

11100000100 is a wasteful number, since it uses less digits than its factorization.

11100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689485 (or 689478 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11100000100 its reverse (100000111), we get a palindrome (11200000211).

The spelling of 11100000100 in words is "eleven billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 689441 1378882 2757764 3447205 4826087 6894410 9652174 13788820 15857143 17236025 19304348 24130435 31714286 34472050 48260870 63428572 68944100 79285715 96521740 111000001 120652175 158571430 222000002 241304350 317142860 396428575 444000004 482608700 555000005 792857150 1110000010 1585714300 2220000020 2775000025 5550000050 11100000100