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131300113 = 743509857
BaseRepresentation
bin1111101001101…
…11101100010001
3100011001201220011
413310313230101
5232103100423
621010114521
73153014110
oct764675421
9304051804
10131300113
116812a79a
1237b7ba41
1321282499
141361bc77
15b7d8b0d
hex7d37b11

131300113 has 16 divisors (see below), whose sum is σ = 154028160. Its totient is φ = 109581696.

The previous prime is 131300111. The next prime is 131300119. The reversal of 131300113 is 311003131.

It is a happy number.

It is not a de Polignac number, because 131300113 - 21 = 131300111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131300093 and 131300102.

It is not an unprimeable number, because it can be changed into a prime (131300111) 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, 152781 + ... + 153637.

It is an arithmetic number, because the mean of its divisors is an integer number (9626760).

Almost surely, 2131300113 is an apocalyptic number.

It is an amenable number.

131300113 is a deficient number, since it is larger than the sum of its proper divisors (22728047).

131300113 is an equidigital number, since it uses as much as digits as its factorization.

131300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131300113 is about 11458.6261392891. The cubic root of 131300113 is about 508.2628491242.

Adding to 131300113 its reverse (311003131), we get a palindrome (442303244).

The spelling of 131300113 in words is "one hundred thirty-one million, three hundred thousand, one hundred thirteen".

Divisors: 1 7 43 301 509 857 3563 5999 21887 36851 153209 257957 436213 3053491 18757159 131300113