Search a number
-
+
130414131 = 342959941
BaseRepresentation
bin1111100010111…
…11011000110011
3100002101201120000
413301133120303
5231341223011
620535121043
73142334061
oct761373063
9302351500
10130414131
1167685081
1237813183
1321032133
141346b031
15b6b1356
hex7c5f633

130414131 has 40 divisors (see below), whose sum is σ = 205167600. Its totient is φ = 82434240.

The previous prime is 130414111. The next prime is 130414133. The reversal of 130414131 is 131414031.

It is not a de Polignac number, because 130414131 - 27 = 130414003 is a prime.

It is a super-2 number, since 2×1304141312 = 34015691128970322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130414133) 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 39 ways as a sum of consecutive naturals, for example, 138121 + ... + 139061.

It is an arithmetic number, because the mean of its divisors is an integer number (5129190).

Almost surely, 2130414131 is an apocalyptic number.

130414131 is a deficient number, since it is larger than the sum of its proper divisors (74753469).

130414131 is an equidigital number, since it uses as much as digits as its factorization.

130414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130414131 is about 11419.9006563105. The cubic root of 130414131 is about 507.1170557074.

Adding to 130414131 its reverse (131414031), we get a palindrome (261828162).

The spelling of 130414131 in words is "one hundred thirty million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 29 59 81 87 177 261 531 783 941 1593 1711 2349 2823 4779 5133 8469 15399 25407 27289 46197 55519 76221 81867 138591 166557 245601 499671 736803 1499013 1610051 2210409 4497039 4830153 14490459 43471377 130414131