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131310414 = 23217429119
BaseRepresentation
bin1111101001110…
…10001101001110
3100011002021000200
413310322031032
5232103413124
621010234330
73153056124
oct764721516
9304067020
10131310414
1168137504
1237b859a6
1321287091
1413621914
15b7dbbc9
hex7d3a34e

131310414 has 24 divisors (see below), whose sum is σ = 301242240. Its totient is φ = 41195328.

The previous prime is 131310391. The next prime is 131310437. The reversal of 131310414 is 414013131.

It is an interprime number because it is at equal distance from previous prime (131310391) and next prime (131310437).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 214254 + ... + 214865.

It is an arithmetic number, because the mean of its divisors is an integer number (12551760).

Almost surely, 2131310414 is an apocalyptic number.

131310414 is an abundant number, since it is smaller than the sum of its proper divisors (169931826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131310414 is a wasteful number, since it uses less digits than its factorization.

131310414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429144 (or 429141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131310414 is about 11459.0756171691. The cubic root of 131310414 is about 508.2761405032.

Adding to 131310414 its reverse (414013131), we get a palindrome (545323545).

The spelling of 131310414 in words is "one hundred thirty-one million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 429119 858238 1287357 2574714 3862071 7295023 7724142 14590046 21885069 43770138 65655207 131310414