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11320433124 = 223711133725471
BaseRepresentation
bin10101000101100000…
…00001100111100100
31002012221101120211220
422202300001213210
5141141012324444
65111152100340
7550350044130
oct124260014744
932187346756
1011320433124
11488a0a8a60
12223b2346b0
1310b542aa50
147956823c0
15463c87619
hex2a2c019e4

11320433124 has 192 divisors, whose sum is σ = 36425367552. Its totient is φ = 2640729600.

The previous prime is 11320433123. The next prime is 11320433143. The reversal of 11320433124 is 42133402311.

It is a happy number.

It is a super-2 number, since 2×113204331242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11320433094 and 11320433103.

It is not an unprimeable number, because it can be changed into a prime (11320433123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 431709 + ... + 457179.

It is an arithmetic number, because the mean of its divisors is an integer number (189715456).

Almost surely, 211320433124 is an apocalyptic number.

11320433124 is a gapful number since it is divisible by the number (14) 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 11320433124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212683776).

11320433124 is an abundant number, since it is smaller than the sum of its proper divisors (25104934428).

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

11320433124 is a wasteful number, since it uses less digits than its factorization.

11320433124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25546 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11320433124 its reverse (42133402311), we get a palindrome (53453835435).

It can be divided in two parts, 11320 and 433124, that added together give a palindrome (444444).

The spelling of 11320433124 in words is "eleven billion, three hundred twenty million, four hundred thirty-three thousand, one hundred twenty-four".