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11120100000 = 25355101367
BaseRepresentation
bin10100101101100111…
…10100001010100000
31001200222102121110120
422112303310022200
5140233221200000
65035234200240
7542365201422
oct122663641240
931628377416
1011120100000
114797008799
1221a4123080
131082a87c39
14776c14812
154513b46a0
hex296cf42a0

11120100000 has 288 divisors, whose sum is σ = 36947135232. Its totient is φ = 2928000000.

The previous prime is 11120099957. The next prime is 11120100067. The reversal of 11120100000 is 102111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30299817 + ... + 30300183.

It is an arithmetic number, because the mean of its divisors is an integer number (128288664).

Almost surely, 211120100000 is an apocalyptic number.

11120100000 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 11120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18473567616).

11120100000 is an abundant number, since it is smaller than the sum of its proper divisors (25827035232).

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

11120100000 is an equidigital number, since it uses as much as digits as its factorization.

11120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11120100000 its reverse (102111), we get a palindrome (11120202111).

The spelling of 11120100000 in words is "eleven billion, one hundred twenty million, one hundred thousand".