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11100041000 = 235311100041
BaseRepresentation
bin10100101011001110…
…10010111100101000
31001122120200111200122
422111213102330220
5140213102303000
65033240222412
7542032535366
oct122547227450
931576614618
1011100041000
114786758104
12219946aa08
13107b8839c9
147742b2636
1544e751085
hex2959d2f28

11100041000 has 32 divisors (see below), whose sum is σ = 25974098280. Its totient is φ = 4440016000.

The previous prime is 11100040999. The next prime is 11100041011. The reversal of 11100041000 is 14000111.

11100041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 425431876 + 10674609124 = 20626^2 + 103318^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5549021 + ... + 5551020.

Almost surely, 211100041000 is an apocalyptic number.

11100041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100041000 is an abundant number, since it is smaller than the sum of its proper divisors (14874057280).

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

11100041000 is a wasteful number, since it uses less digits than its factorization.

11100041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100062 (or 11100048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11100041000 its reverse (14000111), we get a palindrome (11114041111).

The spelling of 11100041000 in words is "eleven billion, one hundred million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11100041 22200082 44400164 55500205 88800328 111000410 222000820 277501025 444001640 555002050 1110004100 1387505125 2220008200 2775010250 5550020500 11100041000