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131424002125 = 531380876309
BaseRepresentation
bin111101001100101111…
…0110010000001001101
3110120020011110001022021
41322121132302001031
54123124021032000
6140213024250141
712331544405023
oct1723136620115
9416204401267
10131424002125
1150811471a99
1221579770951
13c515c08240
14650a668713
153642d9a11a
hex1e997b204d

131424002125 has 16 divisors (see below), whose sum is σ = 176633861040. Its totient is φ = 97051569600.

The previous prime is 131424002113. The next prime is 131424002141. The reversal of 131424002125 is 521200424131.

It can be written as a sum of positive squares in 8 ways, for example, as 35886755844 + 95537246281 = 189438^2 + 309091^2 .

It is not a de Polignac number, because 131424002125 - 27 = 131424001997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 131424002125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40436530 + ... + 40439779.

It is an arithmetic number, because the mean of its divisors is an integer number (11039616315).

Almost surely, 2131424002125 is an apocalyptic number.

It is an amenable number.

131424002125 is a deficient number, since it is larger than the sum of its proper divisors (45209858915).

131424002125 is an equidigital number, since it uses as much as digits as its factorization.

131424002125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80876337 (or 80876327 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 131424002125 its reverse (521200424131), we get a palindrome (652624426256).

The spelling of 131424002125 in words is "one hundred thirty-one billion, four hundred twenty-four million, two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 80876309 404381545 1051392017 2021907725 5256960085 10109538625 26284800425 131424002125