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11100241000 = 235311100241
BaseRepresentation
bin10100101011010000…
…00011110001101000
31001122121001200001001
422111220003301220
5140213130203000
65033244404344
7542034330442
oct122550036150
931577050031
1011100241000
1147868843a2
1221995466b4
13107b923a54
14774325492
1544e79046a
hex295a03c68

11100241000 has 32 divisors (see below), whose sum is σ = 25974566280. Its totient is φ = 4440096000.

The previous prime is 11100240953. The next prime is 11100241007. The reversal of 11100241000 is 14200111.

It can be written as a sum of positive squares in 4 ways, for example, as 6609364804 + 4490876196 = 81298^2 + 67014^2 .

It is a super-3 number, since 3×111002410003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11100241007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549121 + ... + 5551120.

Almost surely, 211100241000 is an apocalyptic number.

11100241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100241000 is an abundant number, since it is smaller than the sum of its proper divisors (14874325280).

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

11100241000 is a wasteful number, since it uses less digits than its factorization.

11100241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100262 (or 11100248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100241000 its reverse (14200111), we get a palindrome (11114441111).

The spelling of 11100241000 in words is "eleven billion, one hundred million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11100241 22200482 44400964 55501205 88801928 111002410 222004820 277506025 444009640 555012050 1110024100 1387530125 2220048200 2775060250 5550120500 11100241000