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131265224160 = 25357296532063
BaseRepresentation
bin111101001000000000…
…1000101110111100000
3110112211002200021212220
41322100001011313200
54122312344133120
6140145153151040
712324605665350
oct1722001056740
9415732607786
10131265224160
115073a884834
122153455b480
13c4bc054a95
1464d3536b60
153633e84b40
hex1e90045de0

131265224160 has 384 divisors, whose sum is σ = 489835745280. Its totient is φ = 28910493696.

The previous prime is 131265224119. The next prime is 131265224183. The reversal of 131265224160 is 61422562131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63627289 + ... + 63629351.

It is an arithmetic number, because the mean of its divisors is an integer number (1275613920).

Almost surely, 2131265224160 is an apocalyptic number.

131265224160 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 131265224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244917872640).

131265224160 is an abundant number, since it is smaller than the sum of its proper divisors (358570521120).

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

131265224160 is a wasteful number, since it uses less digits than its factorization.

131265224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 131265224160 its reverse (61422562131), we get a palindrome (192687786291).

The spelling of 131265224160 in words is "one hundred thirty-one billion, two hundred sixty-five million, two hundred twenty-four thousand, one hundred sixty".