Search a number
-
+
13022103303001 = 139209108774053
BaseRepresentation
bin1011110101111111000111…
…0101110111001101011001
31201002220022202202122211101
42331133301311313031121
53201323231421144001
643410134403031401
72512546600520122
oct275376165671531
951086282678741
1013022103303001
114170708913461
12156393006b561
13735c96039430
143303b77b7049
15178b04dbda01
hexbd7f1d77359

13022103303001 has 8 divisors (see below), whose sum is σ = 14025326522760. Its totient is φ = 12019097649792.

The previous prime is 13022103302963. The next prime is 13022103303023. The reversal of 13022103303001 is 10030330122031.

It can be written as a sum of positive squares in 4 ways, for example, as 277203303001 + 12744900000000 = 526501^2 + 3570000^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13022103303001 - 227 = 13021969085273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13022103303001.

It is not an unprimeable number, because it can be changed into a prime (13022103303031) 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 7 ways as a sum of consecutive naturals, for example, 54267310 + ... + 54506743.

It is an arithmetic number, because the mean of its divisors is an integer number (1753165815345).

Almost surely, 213022103303001 is an apocalyptic number.

It is an amenable number.

13022103303001 is a deficient number, since it is larger than the sum of its proper divisors (1003223219759).

13022103303001 is a wasteful number, since it uses less digits than its factorization.

13022103303001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108783275.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13022103303001 its reverse (10030330122031), we get a palindrome (23052433425032).

The spelling of 13022103303001 in words is "thirteen trillion, twenty-two billion, one hundred three million, three hundred three thousand, one".

Divisors: 1 13 9209 119717 108774053 1414062689 1001700254077 13022103303001