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131301 = 341621
BaseRepresentation
bin100000000011100101
320200010000
4200003211
513200201
62451513
71054542
oct400345
9220100
10131301
118a715
1263b99
13479c1
1435bc9
1528d86
hex200e5

131301 has 10 divisors (see below), whose sum is σ = 196262. Its totient is φ = 87480.

The previous prime is 131297. The next prime is 131303. The reversal of 131301 is 103131.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 8100 = 351^2 + 90^2 .

It is not a de Polignac number, because 131301 - 22 = 131297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

131301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 730 + ... + 891.

2131301 is an apocalyptic number.

It is an amenable number.

131301 is a deficient number, since it is larger than the sum of its proper divisors (64961).

131301 is an equidigital number, since it uses as much as digits as its factorization.

131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131301 is about 362.3547985056. The cubic root of 131301 is about 50.8263993648.

Adding to 131301 its reverse (103131), we get a palindrome (234432).

It can be divided in two parts, 13130 and 1, that added together give a palindrome (13131).

The spelling of 131301 in words is "one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 27 81 1621 4863 14589 43767 131301