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130351 = 1337271
BaseRepresentation
bin11111110100101111
320121210211
4133310233
513132401
62443251
71052014
oct376457
9217724
10130351
1189a31
1263527
1347440
143570b
1528951
hex1fd2f

130351 has 8 divisors (see below), whose sum is σ = 144704. Its totient is φ = 116640.

The previous prime is 130349. The next prime is 130363. The reversal of 130351 is 153031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(130351) divides (130351-1)6.

It is a cyclic number.

It is not a de Polignac number, because 130351 - 21 = 130349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a deceptive number, since it divides R130350.

It is a Duffinian number.

130351 is a modest number, since divided by 351 gives 130 as remainder.

130351 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (18088).

2130351 is an apocalyptic number.

130351 is a deficient number, since it is larger than the sum of its proper divisors (14353).

130351 is a wasteful number, since it uses less digits than its factorization.

130351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 130351 is about 361.0415488555. The cubic root of 130351 is about 50.7035213927.

Adding to 130351 its reverse (153031), we get a palindrome (283382).

The spelling of 130351 in words is "one hundred thirty thousand, three hundred fifty-one".

Divisors: 1 13 37 271 481 3523 10027 130351