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11230232112000 = 27325311193112037
BaseRepresentation
bin1010001101101011110111…
…1111101110101110000000
31110202121012011222202222200
42203122331333232232000
52432444003410041000
635515033012433200
72236233422636466
oct243327577565600
943677164882880
1011230232112000
11363a79528a340
1213145b2018800
13636010c269a5
142ab790842836
151471cdd06500
hexa36bdfeeb80

11230232112000 has 1536 divisors, whose sum is σ = 47810544537600. Its totient is φ = 2495784960000.

The previous prime is 11230232111999. The next prime is 11230232112067. The reversal of 11230232112000 is 21123203211.

11230232112000 is a `hidden beast` number, since 1 + 1 + 230 + 23 + 211 + 200 + 0 = 666.

It is a super-2 number, since 2×112302321120002 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 932969982 + ... + 932982018.

It is an arithmetic number, because the mean of its divisors is an integer number (31126656600).

Almost surely, 211230232112000 is an apocalyptic number.

11230232112000 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 11230232112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905272268800).

11230232112000 is an abundant number, since it is smaller than the sum of its proper divisors (36580312425600).

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

11230232112000 is a wasteful number, since it uses less digits than its factorization.

11230232112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11230232112000 its reverse (21123203211), we get a palindrome (11251355315211).

The spelling of 11230232112000 in words is "eleven trillion, two hundred thirty billion, two hundred thirty-two million, one hundred twelve thousand".