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131301720 = 233251171467
BaseRepresentation
bin1111101001110…
…00000101011000
3100011001211002200
413310320011120
5232103123340
621010130200
73153021564
oct764700530
9304054080
10131301720
1168130a20
1237b80960
1321283134
141361c6a4
15b7d9330
hex7d38158

131301720 has 192 divisors, whose sum is σ = 473091840. Its totient is φ = 31315200.

The previous prime is 131301719. The next prime is 131301739. The reversal of 131301720 is 27103131.

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 = 131301693 and 131301702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280927 + ... + 281393.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 2131301720 is an apocalyptic number.

131301720 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 131301720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236545920).

131301720 is an abundant number, since it is smaller than the sum of its proper divisors (341790120).

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

131301720 is a wasteful number, since it uses less digits than its factorization.

131301720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 131301720 is about 11458.6962609190. The cubic root of 131301720 is about 508.2649226819.

Adding to 131301720 its reverse (27103131), we get a palindrome (158404851).

The spelling of 131301720 in words is "one hundred thirty-one million, three hundred one thousand, seven hundred twenty".