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131243424 = 253131031021
BaseRepresentation
bin1111101001010…
…01110110100000
3100010221212010120
413310221312200
5232044242144
621005000240
73152356614
oct764516640
9303855116
10131243424
11680a1144
1237b53080
1321262740
1413605344
15b7c6e19
hex7d29da0

131243424 has 96 divisors (see below), whose sum is σ = 374984064. Its totient is φ = 39951360.

The previous prime is 131243347. The next prime is 131243443. The reversal of 131243424 is 424342131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131243394 and 131243403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128034 + ... + 129054.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2131243424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187492032).

131243424 is an abundant number, since it is smaller than the sum of its proper divisors (243740640).

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

131243424 is a wasteful number, since it uses less digits than its factorization.

131243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 131243424 is about 11456.1522336254. The cubic root of 131243424 is about 508.1896908721.

Adding to 131243424 its reverse (424342131), we get a palindrome (555585555).

The spelling of 131243424 in words is "one hundred thirty-one million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1021 1236 1248 1339 1648 2042 2472 2678 3063 3296 4017 4084 4944 5356 6126 8034 8168 9888 10712 12252 13273 16068 16336 21424 24504 26546 32136 32672 39819 42848 49008 53092 64272 79638 98016 105163 106184 128544 159276 210326 212368 315489 318552 420652 424736 630978 637104 841304 1261956 1274208 1367119 1682608 2523912 2734238 3365216 4101357 5047824 5468476 8202714 10095648 10936952 16405428 21873904 32810856 43747808 65621712 131243424