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10444402031001 = 337891057232719
BaseRepresentation
bin1001011111111100011011…
…0111110111100110011001
31100222110211100001111121220
42113333012313313212121
52332110113404443001
634114031514522253
72125404006313611
oct227770667674631
940873740044556
1010444402031001
11336749a730504
121208241136389
135a9b97840693
14281724385a41
15131a39a0dc36
hex97fc6df7999

10444402031001 has 16 divisors (see below), whose sum is σ = 14462943609600. Its totient is φ = 6698626501248.

The previous prime is 10444402030973. The next prime is 10444402031051. The reversal of 10444402031001 is 10013020444401.

It is not a de Polignac number, because 10444402031001 - 27 = 10444402030873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10444402031051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528606481 + ... + 528626238.

It is an arithmetic number, because the mean of its divisors is an integer number (903933975600).

Almost surely, 210444402031001 is an apocalyptic number.

It is an amenable number.

10444402031001 is a deficient number, since it is larger than the sum of its proper divisors (4018541578599).

10444402031001 is a wasteful number, since it uses less digits than its factorization.

10444402031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057232848.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10444402031001 its reverse (10013020444401), we get a palindrome (20457422475402).

The spelling of 10444402031001 in words is "ten trillion, four hundred forty-four billion, four hundred two million, thirty-one thousand, one".

Divisors: 1 3 37 89 111 267 3293 9879 1057232719 3171698157 39117610603 94093711991 117352831809 282281135973 3481467343667 10444402031001