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131037300 = 223252197997
BaseRepresentation
bin1111100111101…
…11100001110100
3100010120101101100
413303313201310
5232021143200
621000330100
73150540642
oct763674164
9303511340
10131037300
1167a70299
1237a73930
13211bc984
1413590192
15b785d00
hex7cf7874

131037300 has 216 divisors, whose sum is σ = 442332800. Its totient is φ = 32348160.

The previous prime is 131037287. The next prime is 131037307. The reversal of 131037300 is 3730131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131037307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1350852 + ... + 1350948.

Almost surely, 2131037300 is an apocalyptic number.

131037300 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 131037300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221166400).

131037300 is an abundant number, since it is smaller than the sum of its proper divisors (311295500).

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

131037300 is a wasteful number, since it uses less digits than its factorization.

131037300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 131037300 is about 11447.1524843517. The cubic root of 131037300 is about 507.9235061626.

Adding to 131037300 its reverse (3730131), we get a palindrome (134767431).

The spelling of 131037300 in words is "one hundred thirty-one million, thirty-seven thousand, three hundred".