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131414117 is a prime number
BaseRepresentation
bin1111101010100…
…11100001100101
3100011021112021112
413311103201211
5232120222432
621012354405
73154000352
oct765234145
9304245245
10131414117
11681a840a
1238015a05
13212c2343
141364b629
15b80c7b2
hex7d53865

131414117 has 2 divisors, whose sum is σ = 131414118. Its totient is φ = 131414116.

The previous prime is 131414093. The next prime is 131414147. The reversal of 131414117 is 711414131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82609921 + 48804196 = 9089^2 + 6986^2 .

It is a cyclic number.

It is not a de Polignac number, because 131414117 - 214 = 131397733 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131414092 and 131414101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131414147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65707058 + 65707059.

It is an arithmetic number, because the mean of its divisors is an integer number (65707059).

Almost surely, 2131414117 is an apocalyptic number.

It is an amenable number.

131414117 is a deficient number, since it is larger than the sum of its proper divisors (1).

131414117 is an equidigital number, since it uses as much as digits as its factorization.

131414117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

The square root of 131414117 is about 11463.5996528141. The cubic root of 131414117 is about 508.4099097633.

Adding to 131414117 its reverse (711414131), we get a palindrome (842828248).

The spelling of 131414117 in words is "one hundred thirty-one million, four hundred fourteen thousand, one hundred seventeen".