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131320320120 = 23355111577823
BaseRepresentation
bin111101001001101001…
…1010001000001111000
3110112221221100110100000
41322103103101001320
54122421000220440
6140154442113000
712326145206103
oct1722323210170
9415857313300
10131320320120
1150768996190
122154aaab760
13c4ca5a5842
1464da99973a
153638c19730
hex1e934d1078

131320320120 has 384 divisors, whose sum is σ = 485971799040. Its totient is φ = 31628413440.

The previous prime is 131320320091. The next prime is 131320320133. The reversal of 131320320120 is 21023023131.

131320320120 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 320 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131320320093 and 131320320102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16782529 + ... + 16790351.

It is an arithmetic number, because the mean of its divisors is an integer number (1265551560).

Almost surely, 2131320320120 is an apocalyptic number.

131320320120 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 131320320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242985899520).

131320320120 is an abundant number, since it is smaller than the sum of its proper divisors (354651478920).

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

131320320120 is a wasteful number, since it uses less digits than its factorization.

131320320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8017 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131320320120 its reverse (21023023131), we get a palindrome (152343343251).

The spelling of 131320320120 in words is "one hundred thirty-one billion, three hundred twenty million, three hundred twenty thousand, one hundred twenty".