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113223132000 = 25325311714027
BaseRepresentation
bin110100101110010011…
…1111110001101100000
3101211020201022001021100
41221130213332031200
53323340110211000
6124003004354400
711115526512516
oct1513447761540
9354221261240
10113223132000
1144021562970
1219b3a245a00
13a8a51a75c4
1456a12b04b6
152e2a064a00
hex1a5c9fe360

113223132000 has 576 divisors, whose sum is σ = 444643250688. Its totient is φ = 27054720000.

The previous prime is 113223131993. The next prime is 113223132041. The reversal of 113223132000 is 231322311.

113223132000 is a `hidden beast` number, since 11 + 322 + 313 + 20 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 28113987 + ... + 28118013.

It is an arithmetic number, because the mean of its divisors is an integer number (771950088).

Almost surely, 2113223132000 is an apocalyptic number.

113223132000 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 113223132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222321625344).

113223132000 is an abundant number, since it is smaller than the sum of its proper divisors (331420118688).

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

113223132000 is a wasteful number, since it uses less digits than its factorization.

113223132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113223132000 its reverse (231322311), we get a palindrome (113454454311).

It can be divided in two parts, 1132 and 23132000, that added together give a palindrome (23133132).

The spelling of 113223132000 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred thirty-two thousand".