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131179117641 = 31113347881207
BaseRepresentation
bin111101000101011100…
…0100111110001001001
3110112121002122121221120
41322022320213301021
54122123323231031
6140132435425453
712322512050055
oct1721270476111
9415532577846
10131179117641
11506a6212720
122150b755289
13c4a7267090
1464c5d20c65
15362b626a96
hex1e8ae27c49

131179117641 has 32 divisors (see below), whose sum is σ = 206075778048. Its totient is φ = 73175346240.

The previous prime is 131179117637. The next prime is 131179117681. The reversal of 131179117641 is 146711971131.

It is not a de Polignac number, because 131179117641 - 22 = 131179117637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131179117593 and 131179117602.

It is not an unprimeable number, because it can be changed into a prime (131179117681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 291741 + ... + 589466.

It is an arithmetic number, because the mean of its divisors is an integer number (6439868064).

Almost surely, 2131179117641 is an apocalyptic number.

131179117641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131179117641 is a deficient number, since it is larger than the sum of its proper divisors (74896660407).

131179117641 is a wasteful number, since it uses less digits than its factorization.

131179117641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881581.

The product of its digits is 31752, while the sum is 42.

The spelling of 131179117641 in words is "one hundred thirty-one billion, one hundred seventy-nine million, one hundred seventeen thousand, six hundred forty-one".

Divisors: 1 3 11 13 33 39 143 347 429 1041 3817 4511 11451 13533 49621 148863 881207 2643621 9693277 11455691 29079831 34367073 126012601 305778829 378037803 917336487 3363567119 3975124777 10090701357 11925374331 43726372547 131179117641