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131501345252000 = 255332875336313
BaseRepresentation
bin11101111001100110001010…
…111110001010001010100000
3122020121101221211222022022112
4131321212022332022022200
5114214004223341031000
61143402514541054452
736461441631611513
oct3571461276121240
9566541854868275
10131501345252000
113899a453186329
12128b9a12557428
13584b6a65bb999
1424689b0368d7a
1510309b9ac1235
hex77998af8a2a0

131501345252000 has 48 divisors (see below), whose sum is σ = 323098805293992. Its totient is φ = 52600538099200.

The previous prime is 131501345251993. The next prime is 131501345252161. The reversal of 131501345252000 is 252543105131.

It can be written as a sum of positive squares in 4 ways, for example, as 58147396197136 + 73353949054864 = 7625444^2 + 8564692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16437664157 + ... + 16437672156.

Almost surely, 2131501345252000 is an apocalyptic number.

131501345252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131501345252000 is an abundant number, since it is smaller than the sum of its proper divisors (191597460041992).

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

131501345252000 is an equidigital number, since it uses as much as digits as its factorization.

131501345252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32875336338 (or 32875336320 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 131501345252000 its reverse (252543105131), we get a palindrome (131753888357131).

The spelling of 131501345252000 in words is "one hundred thirty-one trillion, five hundred one billion, three hundred forty-five million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 32875336313 65750672626 131501345252 164376681565 263002690504 328753363130 526005381008 657506726260 821883407825 1052010762016 1315013452520 1643766815650 2630026905040 3287533631300 4109417039125 5260053810080 6575067262600 8218834078250 13150134525200 16437668156500 26300269050400 32875336313000 65750672626000 131501345252000