Search a number
-
+
13220131002301 = 97674092021837
BaseRepresentation
bin1100000001100000110100…
…1101100101011110111101
31201210211110122211002101201
43000120031031211132331
53213044312014033201
644041124435535501
72533060112266246
oct300301515453675
951724418732351
1013220131002301
114237698336983
12159619715a591
1374b86485bc72
14339c0196dccd
1517dd45102801
hexc060d3657bd

13220131002301 has 8 divisors (see below), whose sum is σ = 13356625758840. Its totient is φ = 13083640424448.

The previous prime is 13220131002251. The next prime is 13220131002307. The reversal of 13220131002301 is 10320013102231.

13220131002301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 177552676900 + 13042578325401 = 421370^2 + 3611451^2 .

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 13220131002301 - 27 = 13220131002173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220131002307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5527755 + ... + 7549591.

It is an arithmetic number, because the mean of its divisors is an integer number (1669578219855).

Almost surely, 213220131002301 is an apocalyptic number.

It is an amenable number.

13220131002301 is a deficient number, since it is larger than the sum of its proper divisors (136494756539).

13220131002301 is an equidigital number, since it uses as much as digits as its factorization.

13220131002301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089343.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13220131002301 its reverse (10320013102231), we get a palindrome (23540144104532).

The spelling of 13220131002301 in words is "thirteen trillion, two hundred twenty billion, one hundred thirty-one million, two thousand, three hundred one".

Divisors: 1 97 67409 2021837 6538673 196118189 136290010333 13220131002301