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131779681 = 113747832
BaseRepresentation
bin1111101101011…
…00110001100001
3100011222002201221
413312230301201
5232213422211
621024255041
73160052215
oct766546141
9304862657
10131779681
1168428030
1238171481
13213bc857
1413704945
15b880c71
hex7dacc61

131779681 has 24 divisors (see below), whose sum is σ = 152625024. Its totient is φ = 112707360.

The previous prime is 131779679. The next prime is 131779691. The reversal of 131779681 is 186977131.

It is a happy number.

It is not a de Polignac number, because 131779681 - 21 = 131779679 is a prime.

It is a super-2 number, since 2×1317796812 = 34731768648923522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131779601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587666 + ... + 1587748.

It is an arithmetic number, because the mean of its divisors is an integer number (6359376).

Almost surely, 2131779681 is an apocalyptic number.

131779681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131779681 is a deficient number, since it is larger than the sum of its proper divisors (20845343).

131779681 is an equidigital number, since it uses as much as digits as its factorization.

131779681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 178 counting only the distinct ones).

The product of its digits is 63504, while the sum is 43.

The square root of 131779681 is about 11479.5331351061. The cubic root of 131779681 is about 508.8808999778.

The spelling of 131779681 in words is "one hundred thirty-one million, seven hundred seventy-nine thousand, six hundred eighty-one".

Divisors: 1 11 37 47 83 407 517 913 1739 3071 3901 6889 19129 33781 42911 75779 144337 254893 323783 1587707 2803823 3561613 11979971 131779681