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131324214 = 23724211061
BaseRepresentation
bin1111101001111…
…01100100110110
3100011002221221210
413310331210312
5232104333324
621010422250
73153144300
oct764754466
9304087853
10131324214
116814690a
1237b91986
1321290448
1413626970
15b7e0d29
hex7d3d936

131324214 has 48 divisors (see below), whose sum is σ = 306544176. Its totient is φ = 37396800.

The previous prime is 131324213. The next prime is 131324233. The reversal of 131324214 is 412423131.

131324214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123244 + ... + 124304.

It is an arithmetic number, because the mean of its divisors is an integer number (6386337).

Almost surely, 2131324214 is an apocalyptic number.

131324214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131324214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153272088).

131324214 is an abundant number, since it is smaller than the sum of its proper divisors (175219962).

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

131324214 is a wasteful number, since it uses less digits than its factorization.

131324214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 131324214 is about 11459.6777441602. The cubic root of 131324214 is about 508.2939455522.

Adding to 131324214 its reverse (412423131), we get a palindrome (543747345).

The spelling of 131324214 in words is "one hundred thirty-one million, three hundred twenty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 421 842 1061 1263 2122 2526 2947 3183 5894 6366 7427 8841 14854 17682 20629 22281 41258 44562 51989 61887 103978 123774 155967 311934 446681 893362 1340043 2680086 3126767 6253534 9380301 18760602 21887369 43774738 65662107 131324214