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11130000133032 = 233211271174729683
BaseRepresentation
bin1010000111110110011110…
…1101000100101110101000
31110102000110211211200102100
42201331213231010232220
52424323220013224112
635401015041333400
72226054531113454
oct241754755045650
943360424750370
1011130000133032
11360122aa09a90
1212b909a637260
136297293442b1
142a69a2a77664
151447b45472dc
hexa1f67b44ba8

11130000133032 has 192 divisors, whose sum is σ = 33025440015360. Its totient is φ = 3358245225600.

The previous prime is 11130000133027. The next prime is 11130000133033. The reversal of 11130000133032 is 23033100003111.

It is a happy number.

11130000133032 is a `hidden beast` number, since 1 + 1 + 1 + 300 + 0 + 0 + 1 + 330 + 32 = 666.

It is a super-2 number, since 2×111300001330322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11130000132996 and 11130000133014.

It is not an unprimeable number, because it can be changed into a prime (11130000133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374947263 + ... + 374976945.

It is an arithmetic number, because the mean of its divisors is an integer number (172007500080).

Almost surely, 211130000133032 is an apocalyptic number.

11130000133032 is a gapful number since it is divisible by the number (12) 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 11130000133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512720007680).

11130000133032 is an abundant number, since it is smaller than the sum of its proper divisors (21895439882328).

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

11130000133032 is a wasteful number, since it uses less digits than its factorization.

11130000133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31724 (or 31717 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11130000133032 its reverse (23033100003111), we get a palindrome (34163100136143).

The spelling of 11130000133032 in words is "eleven trillion, one hundred thirty billion, one hundred thirty-three thousand, thirty-two".