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131041300 = 225213100801
BaseRepresentation
bin1111100111110…
…00100000010100
3100010120120212111
413303320200110
5232021310200
621000400404
73150555415
oct763704024
9303516774
10131041300
1167a732a5
1237a76104
13211c1740
141359180c
15b7870ba
hex7cf8814

131041300 has 36 divisors (see below), whose sum is σ = 306236476. Its totient is φ = 48384000.

The previous prime is 131041291. The next prime is 131041303. The reversal of 131041300 is 3140131.

It can be written as a sum of positive squares in 6 ways, for example, as 57972996 + 73068304 = 7614^2 + 8548^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49101 + ... + 51700.

Almost surely, 2131041300 is an apocalyptic number.

131041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131041300 is an abundant number, since it is smaller than the sum of its proper divisors (175195176).

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

131041300 is a wasteful number, since it uses less digits than its factorization.

131041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100828 (or 100821 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131041300 is about 11447.3271989578. The cubic root of 131041300 is about 507.9286743434.

Adding to 131041300 its reverse (3140131), we get a palindrome (134181431).

The spelling of 131041300 in words is "one hundred thirty-one million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 100801 201602 403204 504005 1008010 1310413 2016020 2520025 2620826 5040050 5241652 6552065 10080100 13104130 26208260 32760325 65520650 131041300