Search a number
-
+
331122302203221 = 32298456112327229
BaseRepresentation
bin100101101001001110110101…
…1001100110011010101010101
31121102101222112120020102102200
41023102131223030303111111
5321400101433331000341
63132123252522355113
7126513540220406424
oct11322355314632525
91542358476212380
10331122302203221
11965621a8286981
123117987905ba99
131129b911c60b89
145baa5952152bb
1528433b700ddb6
hex12d276b333555

331122302203221 has 12 divisors (see below), whose sum is σ = 478287968902380. Its totient is φ = 220748109598080.

The previous prime is 331122302203213. The next prime is 331122302203237. The reversal of 331122302203221 is 122302203221133.

331122302203221 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 2 + 230 + 2 + 203 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175748844420900 + 155373457782321 = 13257030^2 + 12464889^2 .

It is not a de Polignac number, because 331122302203221 - 23 = 331122302203213 is a prime.

It is a super-2 number, since 2×3311223022032212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122302203241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20697435 + ... + 33024663.

It is an arithmetic number, because the mean of its divisors is an integer number (39857330741865).

Almost surely, 2331122302203221 is an apocalyptic number.

It is an amenable number.

331122302203221 is a deficient number, since it is larger than the sum of its proper divisors (147165666699159).

331122302203221 is a wasteful number, since it uses less digits than its factorization.

331122302203221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15311796 (or 15311793 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331122302203221 its reverse (122302203221133), we get a palindrome (453424505424354).

The spelling of 331122302203221 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three hundred two million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 2984561 8953683 12327229 26861049 36981687 110945061 36791366911469 110374100734407 331122302203221