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130031829 = 3214447981
BaseRepresentation
bin1111100000000…
…10000011010101
3100001200022010200
413300002003111
5231242004304
620523011113
73136152354
oct760020325
9301608120
10130031829
1167443924
1237669a99
1320c2a115
14133ab99b
15b637e39
hex7c020d5

130031829 has 6 divisors (see below), whose sum is σ = 187823766. Its totient is φ = 86687880.

The previous prime is 130031813. The next prime is 130031831. The reversal of 130031829 is 928130031.

It can be written as a sum of positive squares in only one way, i.e., 127644804 + 2387025 = 11298^2 + 1545^2 .

It is not a de Polignac number, because 130031829 - 24 = 130031813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7223982 + ... + 7223999.

It is an arithmetic number, because the mean of its divisors is an integer number (31303961).

Almost surely, 2130031829 is an apocalyptic number.

It is an amenable number.

130031829 is a deficient number, since it is larger than the sum of its proper divisors (57791937).

130031829 is a wasteful number, since it uses less digits than its factorization.

130031829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447987 (or 14447984 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130031829 is about 11403.1499595507. The cubic root of 130031829 is about 506.6210419347.

The spelling of 130031829 in words is "one hundred thirty million, thirty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 14447981 43343943 130031829