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132113243232 = 2532732162659
BaseRepresentation
bin111101100001010010…
…0000001110001100000
3110122000012101010100200
41323002210001301200
54131031442240412
6140405245145200
712354614016225
oct1730244016140
9418005333320
10132113243232
1151035533043
122173055b200
13c5c594b509
14657400194c
1536836449dc
hex1ec2901c60

132113243232 has 72 divisors (see below), whose sum is σ = 375754349880. Its totient is φ = 44031029760.

The previous prime is 132113243221. The next prime is 132113243239. The reversal of 132113243232 is 232342311231.

132113243232 is a `hidden beast` number, since 1 + 3 + 2 + 11 + 324 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 132113243196 and 132113243205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113243239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2077119 + ... + 2139777.

It is an arithmetic number, because the mean of its divisors is an integer number (5218810415).

Almost surely, 2132113243232 is an apocalyptic number.

132113243232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132113243232 is an abundant number, since it is smaller than the sum of its proper divisors (243641106648).

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

132113243232 is a wasteful number, since it uses less digits than its factorization.

132113243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69996 (or 69985 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 132113243232 its reverse (232342311231), we get a palindrome (364455554463).

The spelling of 132113243232 in words is "one hundred thirty-two billion, one hundred thirteen million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7321 14642 21963 29284 43926 58568 62659 65889 87852 117136 125318 131778 175704 187977 234272 250636 263556 351408 375954 501272 527112 563931 702816 751908 1002544 1054224 1127862 1503816 2005088 2108448 2255724 3007632 4511448 6015264 9022896 18045792 458726539 917453078 1376179617 1834906156 2752359234 3669812312 4128538851 5504718468 7339624624 8257077702 11009436936 14679249248 16514155404 22018873872 33028310808 44037747744 66056621616 132113243232