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130413261 = 31129136273
BaseRepresentation
bin1111100010111…
…11001011001101
3100002101200100210
413301133023031
5231341211021
620535113033
73142331406
oct761371315
9302350323
10130413261
1167684460
1237812779
1321031914
141346a9ad
15b6b0e76
hex7c5f2cd

130413261 has 16 divisors (see below), whose sum is σ = 196234560. Its totient is φ = 76312320.

The previous prime is 130413247. The next prime is 130413263. The reversal of 130413261 is 162314031.

It is not a de Polignac number, because 130413261 - 25 = 130413229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413263) 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 15 ways as a sum of consecutive naturals, for example, 67180 + ... + 69093.

It is an arithmetic number, because the mean of its divisors is an integer number (12264660).

Almost surely, 2130413261 is an apocalyptic number.

130413261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130413261 is a deficient number, since it is larger than the sum of its proper divisors (65821299).

130413261 is a wasteful number, since it uses less digits than its factorization.

130413261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136316.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130413261 is about 11419.8625648473. The cubic root of 130413261 is about 507.1159280361.

Adding to 130413261 its reverse (162314031), we get a palindrome (292727292).

The spelling of 130413261 in words is "one hundred thirty million, four hundred thirteen thousand, two hundred sixty-one".

Divisors: 1 3 11 29 33 87 319 957 136273 408819 1499003 3951917 4497009 11855751 43471087 130413261