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130143300144 = 2431121319831093
BaseRepresentation
bin111100100110100100…
…1010010101000110000
3110102220220120122110120
41321031021102220300
54113013141101034
6135441554330240
712255033541014
oct1711511225060
9412826518416
10130143300144
1150214555700
1221280889980
13c370799010
14642852c544
1535ba71cc49
hex1e4d252a30

130143300144 has 480 divisors, whose sum is σ = 424353672960. Its totient is φ = 34041047040.

The previous prime is 130143300143. The next prime is 130143300151. The reversal of 130143300144 is 441003341031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130143300143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119069262 + ... + 119070354.

It is an arithmetic number, because the mean of its divisors is an integer number (884070152).

Almost surely, 2130143300144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130143300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212176836480).

130143300144 is an abundant number, since it is smaller than the sum of its proper divisors (294210372816).

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

130143300144 is a wasteful number, since it uses less digits than its factorization.

130143300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1224 counting only the distinct ones).

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

Adding to 130143300144 its reverse (441003341031), we get a palindrome (571146641175).

The spelling of 130143300144 in words is "one hundred thirty billion, one hundred forty-three million, three hundred thousand, one hundred forty-four".