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131301800 = 2352793787
BaseRepresentation
bin1111101001110…
…00000110101000
3100011001211012122
413310320012220
5232103124200
621010130412
73153022040
oct764700650
9304054178
10131301800
1168130a93
1237b80a08
1321283196
141361c720
15b7d9385
hex7d381a8

131301800 has 48 divisors (see below), whose sum is σ = 348891360. Its totient is φ = 45017280.

The previous prime is 131301787. The next prime is 131301811. The reversal of 131301800 is 8103131.

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 11 ways as a sum of consecutive naturals, for example, 45494 + ... + 48293.

It is an arithmetic number, because the mean of its divisors is an integer number (7268570).

Almost surely, 2131301800 is an apocalyptic number.

131301800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301800 is an abundant number, since it is smaller than the sum of its proper divisors (217589560).

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

131301800 is a wasteful number, since it uses less digits than its factorization.

131301800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93810 (or 93801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 131301800 is about 11458.6997517170. The cubic root of 131301800 is about 508.2650259077.

Adding to 131301800 its reverse (8103131), we get a palindrome (139404931).

The spelling of 131301800 in words is "one hundred thirty-one million, three hundred one thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 93787 187574 375148 468935 656509 750296 937870 1313018 1875740 2344675 2626036 3282545 3751480 4689350 5252072 6565090 9378700 13130180 16412725 18757400 26260360 32825450 65650900 131301800