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11242312200432 = 24321931139953593
BaseRepresentation
bin1010001110011000111000…
…0001100111000011110000
31110210202101001210212000100
42203212032001213003300
52433143223410403212
635524351422552400
72240141655665265
oct243461601470360
943722331725010
1011242312200432
1136449241725a5
121316a03738700
136371b784cc01
142ac1b8d4b26c
151476895e6bdc
hexa398e0670f0

11242312200432 has 240 divisors, whose sum is σ = 34433135027200. Its totient is φ = 3410960440320.

The previous prime is 11242312200407. The next prime is 11242312200433. The reversal of 11242312200432 is 23400221324211.

11242312200432 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 3 + 1 + 220 + 0 + 432 = 666.

It is a super-2 number, since 2×112423122004322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11242312200396 and 11242312200405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242312200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11312628 + ... + 12266220.

Almost surely, 211242312200432 is an apocalyptic number.

11242312200432 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 11242312200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216567513600).

11242312200432 is an abundant number, since it is smaller than the sum of its proper divisors (23190822826768).

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

11242312200432 is a wasteful number, since it uses less digits than its factorization.

11242312200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953796 (or 953787 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11242312200432 its reverse (23400221324211), we get a palindrome (34642533524643).

The spelling of 11242312200432 in words is "eleven trillion, two hundred forty-two billion, three hundred twelve million, two hundred thousand, four hundred thirty-two".