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131314005 = 3254721321
BaseRepresentation
bin1111101001110…
…11000101010101
3100011002102221200
413310323011111
5232104022010
621010303113
73153102444
oct764730525
9304072850
10131314005
116813a179
1237b87a99
13212888c4
1413622d5b
15b7dccc0
hex7d3b155

131314005 has 36 divisors (see below), whose sum is σ = 232732812. Its totient is φ = 68492160.

The previous prime is 131313983. The next prime is 131314013. The reversal of 131314005 is 500413131.

It can be written as a sum of positive squares in 2 ways, for example, as 89245809 + 42068196 = 9447^2 + 6486^2 .

It is not a de Polignac number, because 131314005 - 29 = 131313493 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98745 + ... + 100065.

Almost surely, 2131314005 is an apocalyptic number.

131314005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131314005 is a deficient number, since it is larger than the sum of its proper divisors (101418807).

131314005 is a wasteful number, since it uses less digits than its factorization.

131314005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131314005 is about 11459.2323041293. The cubic root of 131314005 is about 508.2807738067.

Adding to 131314005 its reverse (500413131), we get a palindrome (631727136).

The spelling of 131314005 in words is "one hundred thirty-one million, three hundred fourteen thousand, five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 1321 2115 2209 3963 6605 6627 11045 11889 19815 19881 33135 59445 62087 99405 186261 310435 558783 931305 2793915 2918089 8754267 14590445 26262801 43771335 131314005