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130332141 = 3253273233
BaseRepresentation
bin1111100010010…
…11010111101101
3100002020120002100
413301023113231
5231331112031
620533245313
73141543042
oct761132755
9302216070
10130332141
1167629515
1237793839
1321003a14
14134491c9
15b696de6
hex7c4b5ed

130332141 has 12 divisors (see below), whose sum is σ = 191810268. Its totient is φ = 85248384.

The previous prime is 130332133. The next prime is 130332157. The reversal of 130332141 is 141233031.

130332141 is a `hidden beast` number, since 1 + 303 + 321 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43283241 + 87048900 = 6579^2 + 9330^2 .

It is not a de Polignac number, because 130332141 - 23 = 130332133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332131) 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, 136140 + ... + 137093.

It is an arithmetic number, because the mean of its divisors is an integer number (15984189).

Almost surely, 2130332141 is an apocalyptic number.

It is an amenable number.

130332141 is a deficient number, since it is larger than the sum of its proper divisors (61478127).

130332141 is a wasteful number, since it uses less digits than its factorization.

130332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273292 (or 273289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130332141 is about 11416.3103058738. The cubic root of 130332141 is about 507.0107603659.

Adding to 130332141 its reverse (141233031), we get a palindrome (271565172).

The spelling of 130332141 in words is "one hundred thirty million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 9 53 159 477 273233 819699 2459097 14481349 43444047 130332141