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124431341130 = 233523313172039
BaseRepresentation
bin111001111100010101…
…1111001011001001010
3102220011211112001202000
41303320223321121022
54014313410404010
6133055111251430
711663344643205
oct1637053713112
9386154461660
10124431341130
1148853280318
1220147979b76
13b9702a1905
146045a9c93c
1533840307c0
hex1cf8af964a

124431341130 has 256 divisors, whose sum is σ = 358716211200. Its totient is φ = 30603260160.

The previous prime is 124431341077. The next prime is 124431341147. The reversal of 124431341130 is 31143134421.

124431341130 is a `hidden beast` number, since 1 + 244 + 3 + 1 + 3 + 411 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124431341094 and 124431341103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61024651 + ... + 61026689.

It is an arithmetic number, because the mean of its divisors is an integer number (1401235200).

Almost surely, 2124431341130 is an apocalyptic number.

124431341130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124431341130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179358105600).

124431341130 is an abundant number, since it is smaller than the sum of its proper divisors (234284870070).

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

124431341130 is a wasteful number, since it uses less digits than its factorization.

124431341130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 124431341130 its reverse (31143134421), we get a palindrome (155574475551).

The spelling of 124431341130 in words is "one hundred twenty-four billion, four hundred thirty-one million, three hundred forty-one thousand, one hundred thirty".