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113341152400 = 24527293314217
BaseRepresentation
bin110100110001110101…
…0001011110010010000
3101211112221101002211021
41221203222023302100
53324110313334100
6124022422125224
711121461620360
oct1514352136220
9354487332737
10113341152400
1144082142393
1219b71880814
13a8c378a468
1456b2c329a0
152e355c8a1a
hex1a63a8bc90

113341152400 has 240 divisors, whose sum is σ = 322982720640. Its totient is φ = 37397606400.

The previous prime is 113341152383. The next prime is 113341152427. The reversal of 113341152400 is 4251143311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26875092 + ... + 26879308.

It is an arithmetic number, because the mean of its divisors is an integer number (1345761336).

Almost surely, 2113341152400 is an apocalyptic number.

113341152400 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 113341152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161491360320).

113341152400 is an abundant number, since it is smaller than the sum of its proper divisors (209641568240).

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

113341152400 is a wasteful number, since it uses less digits than its factorization.

113341152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 113341152400 its reverse (4251143311), we get a palindrome (117592295711).

It can be divided in two parts, 1133411 and 52400, that added together give a palindrome (1185811).

The spelling of 113341152400 in words is "one hundred thirteen billion, three hundred forty-one million, one hundred fifty-two thousand, four hundred".