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131132300101 = 11109310906787
BaseRepresentation
bin111101000100000011…
…0000001101101000101
3110112110211120001100121
41322020012001231011
54122024332100401
6140124044141541
712321403105555
oct1721006015505
9415424501317
10131132300101
1150681845a40
12214b7b378b1
13c49a6543aa
1464bda15165
153627479ca1
hex1e88181b45

131132300101 has 8 divisors (see below), whose sum is σ = 143184312864. Its totient is φ = 119102103120.

The previous prime is 131132300083. The next prime is 131132300161. The reversal of 131132300101 is 101003231131.

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

It is not a de Polignac number, because 131132300101 - 25 = 131132300069 is a prime.

It is a super-3 number, since 3×1311323001013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132300161) 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, 5441371 + ... + 5465416.

It is an arithmetic number, because the mean of its divisors is an integer number (17898039108).

Almost surely, 2131132300101 is an apocalyptic number.

131132300101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131132300101 is a deficient number, since it is larger than the sum of its proper divisors (12052012763).

131132300101 is a wasteful number, since it uses less digits than its factorization.

131132300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907891.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131132300101 its reverse (101003231131), we get a palindrome (232135531232).

The spelling of 131132300101 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred thousand, one hundred one".

Divisors: 1 11 1093 12023 10906787 119974657 11921118191 131132300101