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11053112000 = 26537316367
BaseRepresentation
bin10100100101101000…
…10001101011000000
31001112022101021012112
422102310101223000
5140114044041000
65024442314452
7540622621220
oct122264215300
931468337175
1011053112000
114762214707
1221857b8a28
131071c32378
1476bd78080
1544a581235
hex292d11ac0

11053112000 has 224 divisors, whose sum is σ = 32297680896. Its totient is φ = 3666816000.

The previous prime is 11053111931. The next prime is 11053112101. The reversal of 11053112000 is 21135011.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 31 ways as a sum of consecutive naturals, for example, 1732817 + ... + 1739183.

Almost surely, 211053112000 is an apocalyptic number.

11053112000 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 11053112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148840448).

11053112000 is an abundant number, since it is smaller than the sum of its proper divisors (21244568896).

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

11053112000 is an equidigital number, since it uses as much as digits as its factorization.

11053112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 11053112000 its reverse (21135011), we get a palindrome (11074247011).

The spelling of 11053112000 in words is "eleven billion, fifty-three million, one hundred twelve thousand".