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10444241001121 = 173894597343561
BaseRepresentation
bin1001011111111011110101…
…0001100101101010100001
31100222110102010001100011021
42113332331101211222201
52332104301144013441
634114003523245441
72125400012505004
oct227767521455241
940873363040137
1010444241001121
113367417845364
1212081b7219881
135a9b7037c225
1428170ac2953b
15131a2a8013d1
hex97fbd465aa1

10444241001121 has 16 divisors (see below), whose sum is σ = 11089480493520. Its totient is φ = 9802442926080.

The previous prime is 10444241001119. The next prime is 10444241001137. The reversal of 10444241001121 is 12110014244401.

It can be written as a sum of positive squares in 8 ways, for example, as 161572645521 + 10282668355600 = 401961^2 + 3206660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10444241001121 - 21 = 10444241001119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10444241002121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30228181 + ... + 30571741.

It is an arithmetic number, because the mean of its divisors is an integer number (693092530845).

Almost surely, 210444241001121 is an apocalyptic number.

It is an amenable number.

10444241001121 is a deficient number, since it is larger than the sum of its proper divisors (645239492399).

10444241001121 is a wasteful number, since it uses less digits than its factorization.

10444241001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348564.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10444241001121 its reverse (12110014244401), we get a palindrome (22554255245522).

The spelling of 10444241001121 in words is "ten trillion, four hundred forty-four billion, two hundred forty-one million, one thousand, one hundred twenty-one".

Divisors: 1 17 389 4597 6613 78149 343561 1788233 5840537 30399961 133645229 1579349917 2271968893 26848948589 614367117713 10444241001121