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10024331414241 = 322722247661663
BaseRepresentation
bin1001000111011111100010…
…1101101000101011100001
31022111022112220002011101210
42101313320231220223201
52303214312320223431
633153040403420333
72053143164063124
oct221677055505341
938438486064353
1010024331414241
113215327827731
12115a9483846a9
135793a1001261
142692747983bb
15125b5109ad46
hex91df8b68ae1

10024331414241 has 16 divisors (see below), whose sum is σ = 13425279012864. Its totient is φ = 6653138449104.

The previous prime is 10024331414231. The next prime is 10024331414261. The reversal of 10024331414241 is 14241413342001.

It is a happy number.

It is not a de Polignac number, because 10024331414241 - 231 = 10022183930593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10024331414199 and 10024331414208.

It is not an unprimeable number, because it can be changed into a prime (10024331414231) by changing a digit.

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, 14819376 + ... + 15481038.

It is an arithmetic number, because the mean of its divisors is an integer number (839079938304).

Almost surely, 210024331414241 is an apocalyptic number.

It is an amenable number.

10024331414241 is a deficient number, since it is larger than the sum of its proper divisors (3400947598623).

10024331414241 is a wasteful number, since it uses less digits than its factorization.

10024331414241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684140.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10024331414241 its reverse (14241413342001), we get a palindrome (24265744756242).

The spelling of 10024331414241 in words is "ten trillion, twenty-four billion, three hundred thirty-one million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 227 681 22247 66741 661663 1984989 5050069 15150207 150197501 450592503 14720016761 44160050283 3341443804747 10024331414241