Search a number
-
+
213322131220122 = 23211851229512229
BaseRepresentation
bin110000100000001111101101…
…110110101010011010011010
31000222022101201002212002020100
4300200033231312222122122
5210430032211043020442
62033410500104040230
762635005163302321
oct6040175566523232
91028271632762210
10213322131220122
1161a75453860601
121bb13312163076
139205262b4cb02
143a96bbc1290b8
15199dee8cd384c
hexc203eddaa69a

213322131220122 has 12 divisors (see below), whose sum is σ = 462197950976970. Its totient is φ = 71107377073368.

The previous prime is 213322131220091. The next prime is 213322131220129. The reversal of 213322131220122 is 221022131223312.

213322131220122 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 221 + 312 + 2 + 0 + 122 = 666.

213322131220122 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 only one way, i.e., 139604126145561 + 73718005074561 = 11815419^2 + 8585919^2 .

It is not an unprimeable number, because it can be changed into a prime (213322131220129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5925614756097 + ... + 5925614756132.

Almost surely, 2213322131220122 is an apocalyptic number.

213322131220122 is an abundant number, since it is smaller than the sum of its proper divisors (248875819756848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213322131220122 is a wasteful number, since it uses less digits than its factorization.

213322131220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851229512237 (or 11851229512234 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213322131220122 its reverse (221022131223312), we get a palindrome (434344262443434).

The spelling of 213322131220122 in words is "two hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11851229512229 23702459024458 35553688536687 71107377073374 106661065610061 213322131220122