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130141629 = 3250928409
BaseRepresentation
bin1111100000111…
…00110110111101
3100001212212202100
413300130312331
5231304013004
620525215313
73140120442
oct760346675
9301785670
10130141629
1167509372
1237701539
1320c680a7
14133d99c9
15b65a739
hex7c1cdbd

130141629 has 12 divisors (see below), whose sum is σ = 188358300. Its totient is φ = 86587584.

The previous prime is 130141619. The next prime is 130141657. The reversal of 130141629 is 926141031.

130141629 is a `hidden beast` number, since 1 + 30 + 1 + 4 + 1 + 629 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95355225 + 34786404 = 9765^2 + 5898^2 .

It is not a de Polignac number, because 130141629 - 28 = 130141373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130141619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9624 + ... + 18785.

It is an arithmetic number, because the mean of its divisors is an integer number (15696525).

Almost surely, 2130141629 is an apocalyptic number.

It is an amenable number.

130141629 is a deficient number, since it is larger than the sum of its proper divisors (58216671).

130141629 is a wasteful number, since it uses less digits than its factorization.

130141629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28921 counting only the distinct ones).

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

The square root of 130141629 is about 11407.9634028165. The cubic root of 130141629 is about 506.7636002116.

The spelling of 130141629 in words is "one hundred thirty million, one hundred forty-one thousand, six hundred twenty-nine".

Divisors: 1 3 9 509 1527 4581 28409 85227 255681 14460181 43380543 130141629