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130132420353 = 32131112242909
BaseRepresentation
bin111100100110001111…
…1110010011100000001
3110102220011002220012100
41321030133302130001
54113002344422403
6135440525221013
712254542215345
oct1711437623401
9412804086170
10130132420353
11502093a4541
1221279101769
13c36b459b80
146426cd9625
1535b97be2a3
hex1e4c7f2701

130132420353 has 12 divisors (see below), whose sum is σ = 202428209620. Its totient is φ = 80081489376.

The previous prime is 130132420303. The next prime is 130132420399. The reversal of 130132420353 is 353024231031.

130132420353 is a `hidden beast` number, since 1 + 301 + 3 + 2 + 4 + 2 + 0 + 353 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32758466049 + 97373954304 = 180993^2 + 312048^2 .

It is not a de Polignac number, because 130132420353 - 212 = 130132416257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130132420303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556121338 + ... + 556121571.

Almost surely, 2130132420353 is an apocalyptic number.

130132420353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130132420353 is a deficient number, since it is larger than the sum of its proper divisors (72295789267).

130132420353 is a wasteful number, since it uses less digits than its factorization.

130132420353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112242928 (or 1112242925 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 130132420353 its reverse (353024231031), we get a palindrome (483156651384).

The spelling of 130132420353 in words is "one hundred thirty billion, one hundred thirty-two million, four hundred twenty thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 117 1112242909 3336728727 10010186181 14459157817 43377473451 130132420353