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130053 = 3711563
BaseRepresentation
bin11111110000000101
320121101210
4133300011
513130203
62442033
71051110
oct376005
9217353
10130053
1189790
1263319
1347271
1435577
1528803
hex1fc05

130053 has 16 divisors (see below), whose sum is σ = 216576. Its totient is φ = 67440.

The previous prime is 130051. The next prime is 130057. The reversal of 130053 is 350031.

It is a happy number.

It is not a de Polignac number, because 130053 - 21 = 130051 is a prime.

130053 is a lucky number.

It is a plaindrome in base 14.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (13536).

2130053 is an apocalyptic number.

It is an amenable number.

130053 is a deficient number, since it is larger than the sum of its proper divisors (86523).

130053 is a wasteful number, since it uses less digits than its factorization.

130053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 130053 is about 360.6286178328. The cubic root of 130053 is about 50.6648535439.

Adding to 130053 its reverse (350031), we get a palindrome (480084).

The spelling of 130053 in words is "one hundred thirty thousand, fifty-three".

Divisors: 1 3 7 11 21 33 77 231 563 1689 3941 6193 11823 18579 43351 130053