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131332000113 = 3259924361343
BaseRepresentation
bin111101001001111111…
…1110100100101110001
3110112222202022212021100
41322103333310211301
54122431443000423
6140155540315013
712326346403416
oct1722377644561
9415882285240
10131332000113
1150774543576
12215529a2a69
13c4ccb34c92
1464dc35a10d
153639c75343
hex1e93ff4971

131332000113 has 12 divisors (see below), whose sum is σ = 190018483200. Its totient is φ = 87408495096.

The previous prime is 131332000069. The next prime is 131332000117. The reversal of 131332000113 is 311000233131.

It is a happy number.

It is not a de Polignac number, because 131332000113 - 28 = 131331999857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131332000117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12175281 + ... + 12186062.

It is an arithmetic number, because the mean of its divisors is an integer number (15834873600).

Almost surely, 2131332000113 is an apocalyptic number.

It is an amenable number.

131332000113 is a deficient number, since it is larger than the sum of its proper divisors (58686483087).

131332000113 is a wasteful number, since it uses less digits than its factorization.

131332000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24361948 (or 24361945 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131332000113 its reverse (311000233131), we get a palindrome (442332233244).

The spelling of 131332000113 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 599 1797 5391 24361343 73084029 219252087 14592444457 43777333371 131332000113