Search a number
-
+
331211003003101 = 13179539171571093
BaseRepresentation
bin100101101001111000001001…
…0001011100000000011011101
31121102201110111021102221001001
41023103300102023200003131
5321403030113232044401
63132232122332350301
7126523130262643504
oct11323602213400335
91542643437387031
10331211003003101
11965968855a6761
1231192ab2915391
13112a70a9868290
145bb09ab75d83b
1528458592a7601
hex12d3c122e00dd

331211003003101 has 16 divisors (see below), whose sum is σ = 377671101265584. Its totient is φ = 287748440884224.

The previous prime is 331211003003063. The next prime is 331211003003119. The reversal of 331211003003101 is 101300300112133.

It can be written as a sum of positive squares in 8 ways, for example, as 306744284025 + 330904258719076 = 553845^2 + 18190774^2 .

It is a cyclic number.

It is not a de Polignac number, because 331211003003101 - 215 = 331211002970333 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 (331211003003141) 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, 210030111 + ... + 211601203.

It is an arithmetic number, because the mean of its divisors is an integer number (23604443829099).

Almost surely, 2331211003003101 is an apocalyptic number.

It is an amenable number.

331211003003101 is a deficient number, since it is larger than the sum of its proper divisors (46460098262483).

331211003003101 is a wasteful number, since it uses less digits than its factorization.

331211003003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525040.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 331211003003101 its reverse (101300300112133), we get a palindrome (432511303115234).

The spelling of 331211003003101 in words is "three hundred thirty-one trillion, two hundred eleven billion, three million, three thousand, one hundred one".

Divisors: 1 13 17 221 953917 1571093 12400921 16216589 20424209 26708581 210815657 347211553 1498692321281 19483000176653 25477769461777 331211003003101