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131066829 = 348918181
BaseRepresentation
bin1111100111111…
…10101111001101
3100010121212220000
413303332233031
5232023114304
621001114513
73151023015
oct763765715
9303555800
10131066829
1167a904a3
1237a88a39
132120024a
141359ac45
15b78e939
hex7cfebcd

131066829 has 20 divisors (see below), whose sum is σ = 198001980. Its totient is φ = 86391360.

The previous prime is 131066801. The next prime is 131066851. The reversal of 131066829 is 928660131.

It can be written as a sum of positive squares in 2 ways, for example, as 80514729 + 50552100 = 8973^2 + 7110^2 .

It is not a de Polignac number, because 131066829 - 27 = 131066701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131066793 and 131066802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131066869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1882 + ... + 16299.

It is an arithmetic number, because the mean of its divisors is an integer number (9900099).

Almost surely, 2131066829 is an apocalyptic number.

It is an amenable number.

131066829 is a deficient number, since it is larger than the sum of its proper divisors (66935151).

131066829 is an equidigital number, since it uses as much as digits as its factorization.

131066829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18282 (or 18273 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131066829 is about 11448.4422084404. The cubic root of 131066829 is about 507.9616564876.

The spelling of 131066829 in words is "one hundred thirty-one million, sixty-six thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 18181 54543 163629 490887 1472661 1618109 4854327 14562981 43688943 131066829