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231324113424 = 243113127335813
BaseRepresentation
bin1101011101101111111…
…1011101101000010000
3211010002101010112000110
43113123333131220100
512242222433112144
6254134022321320
722466266343565
oct3273377355020
9733071115013
10231324113424
118a116482248
12389b9b89240
1318a76b12a31
14b2a632686c
15603d4530b9
hex35dbfdda10

231324113424 has 80 divisors (see below), whose sum is σ = 607624538112. Its totient is φ = 75823663104.

The previous prime is 231324113417. The next prime is 231324113467. The reversal of 231324113424 is 424311423132.

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 = 231324113391 and 231324113400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520942 + ... + 856754.

Almost surely, 2231324113424 is an apocalyptic number.

231324113424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231324113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303812269056).

231324113424 is an abundant number, since it is smaller than the sum of its proper divisors (376300424688).

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

231324113424 is a wasteful number, since it uses less digits than its factorization.

231324113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336064 (or 336058 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 231324113424 its reverse (424311423132), we get a palindrome (655635536556).

The spelling of 231324113424 in words is "two hundred thirty-one billion, three hundred twenty-four million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 127 226 254 339 381 452 508 678 762 904 1016 1356 1524 1808 2032 2712 3048 5424 6096 14351 28702 43053 57404 86106 114808 172212 229616 335813 344424 671626 688848 1007439 1343252 2014878 2686504 4029756 5373008 8059512 16119024 37946869 42648251 75893738 85296502 113840607 127944753 151787476 170593004 227681214 255889506 303574952 341186008 455362428 511779012 607149904 682372016 910724856 1023558024 1821449712 2047116048 4819252363 9638504726 14457757089 19277009452 28915514178 38554018904 57831028356 77108037808 115662056712 231324113424