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131131302133 = 1319950688559
BaseRepresentation
bin111101000100000001…
…0001110000011110101
3110112110202200100101211
41322020002032003311
54122024103132013
6140124010521421
712321361451206
oct1721002160365
9415422610354
10131131302133
1150681224177
12214b7736271
13c49a395090
1464bd8355ad
15362732e23d
hex1e8808e0f5

131131302133 has 8 divisors (see below), whose sum is σ = 141927968000. Its totient is φ = 120436013808.

The previous prime is 131131302091. The next prime is 131131302161. The reversal of 131131302133 is 331203131131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131131302133 is a prime.

It is a super-2 number, since 2×1311313021332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131302233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25341693 + ... + 25346866.

It is an arithmetic number, because the mean of its divisors is an integer number (17740996000).

Almost surely, 2131131302133 is an apocalyptic number.

131131302133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131131302133 is a deficient number, since it is larger than the sum of its proper divisors (10796665867).

131131302133 is a wasteful number, since it uses less digits than its factorization.

131131302133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50688771.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131131302133 its reverse (331203131131), we get a palindrome (462334433264).

The spelling of 131131302133 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 13 199 2587 50688559 658951267 10087023241 131131302133