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130083 = 3131331
BaseRepresentation
bin11111110000100011
320121102220
4133300203
513130313
62442123
71051152
oct376043
9217386
10130083
1189808
1263343
1347295
1435599
1528823
hex1fc23

130083 has 8 divisors (see below), whose sum is σ = 175296. Its totient is φ = 85800.

The previous prime is 130079. The next prime is 130087. The reversal of 130083 is 380031.

It is an interprime number because it is at equal distance from previous prime (130079) and next prime (130087).

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

It is not a de Polignac number, because 130083 - 22 = 130079 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130083.

It is not an unprimeable number, because it can be changed into a prime (130087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (21912).

2130083 is an apocalyptic number.

130083 is a deficient number, since it is larger than the sum of its proper divisors (45213).

130083 is a wasteful number, since it uses less digits than its factorization.

130083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130083 is about 360.6702094712. The cubic root of 130083 is about 50.6687489526.

The spelling of 130083 in words is "one hundred thirty thousand, eighty-three".

Divisors: 1 3 131 331 393 993 43361 130083