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11100112000 = 2753693757
BaseRepresentation
bin10100101011001111…
…00100010010000000
31001122120211010002021
422111213210102000
5140213112041000
65033241531224
7542033252365
oct122547442200
931576733067
1011100112000
1147867a648a
1221994a3b14
13107b8aa113
147742d046c
1544e76711a
hex2959e4480

11100112000 has 64 divisors (see below), whose sum is σ = 27597693240. Its totient is φ = 4440038400.

The previous prime is 11100111983. The next prime is 11100112027. The reversal of 11100112000 is 21100111.

It can be written as a sum of positive squares in 4 ways, for example, as 681418816 + 10418693184 = 26104^2 + 102072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330879 + ... + 362878.

Almost surely, 211100112000 is an apocalyptic number.

11100112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100112000 is an abundant number, since it is smaller than the sum of its proper divisors (16497581240).

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

11100112000 is an frugal number, since it uses more digits than its factorization.

11100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693786 (or 693764 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11100112000 its reverse (21100111), we get a palindrome (11121212111).

The spelling of 11100112000 in words is "eleven billion, one hundred million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 693757 1387514 2775028 3468785 5550056 6937570 11100112 13875140 17343925 22200224 27750280 34687850 44400448 55500560 69375700 86719625 88800896 111001120 138751400 173439250 222002240 277502800 346878500 444004480 555005600 693757000 1110011200 1387514000 2220022400 2775028000 5550056000 11100112000