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131303214 = 2337794397
BaseRepresentation
bin1111101001110…
…00011100101110
3100011001220011000
413310320130232
5232103200324
621010141130
73153026130
oct764703456
9304056130
10131303214
1168132059
1237b817a6
1321283a13
141361d050
15b7d99c9
hex7d3872e

131303214 has 64 divisors (see below), whose sum is σ = 337766400. Its totient is φ = 37031904.

The previous prime is 131303203. The next prime is 131303239. The reversal of 131303214 is 412303131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27664 + ... + 32060.

It is an arithmetic number, because the mean of its divisors is an integer number (5277600).

Almost surely, 2131303214 is an apocalyptic number.

131303214 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 131303214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168883200).

131303214 is an abundant number, since it is smaller than the sum of its proper divisors (206463186).

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

131303214 is a wasteful number, since it uses less digits than its factorization.

131303214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131303214 is about 11458.7614513960. The cubic root of 131303214 is about 508.2668504173.

Adding to 131303214 its reverse (412303131), we get a palindrome (543606345).

The spelling of 131303214 in words is "one hundred thirty-one million, three hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 2133 3318 4266 4397 4977 8794 9954 13191 14931 26382 29862 30779 39573 61558 79146 92337 118719 184674 237438 277011 347363 554022 694726 831033 1042089 1662066 2084178 2431541 3126267 4863082 6252534 7294623 9378801 14589246 18757602 21883869 43767738 65651607 131303214