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10241331101 = 97121387041
BaseRepresentation
bin10011000100110111…
…00100111110011101
3222102201212112011022
421202123210332131
5131433240043401
64412123133525
7511534610111
oct114233447635
928381775138
1010241331101
114385a67701
121b999742a5
13c729b6141
146d2223741
153ee17d71b
hex2626e4f9d

10241331101 has 8 divisors (see below), whose sum is σ = 10355560824. Its totient is φ = 10127278080.

The previous prime is 10241331091. The next prime is 10241331103. The reversal of 10241331101 is 10113314201.

It can be written as a sum of positive squares in 4 ways, for example, as 1980339001 + 8260992100 = 44501^2 + 90890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10241331101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10241331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241331103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74141 + ... + 161181.

It is an arithmetic number, because the mean of its divisors is an integer number (1294445103).

Almost surely, 210241331101 is an apocalyptic number.

It is an amenable number.

10241331101 is a deficient number, since it is larger than the sum of its proper divisors (114229723).

10241331101 is an equidigital number, since it uses as much as digits as its factorization.

10241331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88351.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10241331101 its reverse (10113314201), we get a palindrome (20354645302).

The spelling of 10241331101 in words is "ten billion, two hundred forty-one million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 97 1213 87041 117661 8442977 105580733 10241331101