Search a number
-
+
2312113310221 = 111397166686851
BaseRepresentation
bin100001101001010100101…
…100010100101000001101
322012000222011002210110111
4201221110230110220031
5300340202001411341
64530100432240021
7326021215603561
oct41512454245015
98160864083414
102312113310221
1181161a761370
1231412a0a0011
1313a053b4b760
147dc9a6a76a1
1540223d40681
hex21a54b14a0d

2312113310221 has 16 divisors (see below), whose sum is σ = 2744332331328. Its totient is φ = 1920232512000.

The previous prime is 2312113310209. The next prime is 2312113310231. The reversal of 2312113310221 is 1220133112132.

It is a de Polignac number, because none of the positive numbers 2k-2312113310221 is a prime.

It is a super-2 number, since 2×23121133102212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2312113310192 and 2312113310201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312113310231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83329555 + ... + 83357296.

It is an arithmetic number, because the mean of its divisors is an integer number (171520770708).

Almost surely, 22312113310221 is an apocalyptic number.

It is an amenable number.

2312113310221 is a deficient number, since it is larger than the sum of its proper divisors (432219021107).

2312113310221 is a wasteful number, since it uses less digits than its factorization.

2312113310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166686972.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2312113310221 its reverse (1220133112132), we get a palindrome (3532246422353).

The spelling of 2312113310221 in words is "two trillion, three hundred twelve billion, one hundred thirteen million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 13 97 143 1067 1261 13871 166686851 1833555361 2166929063 16168624547 23836219693 177854870017 210192119111 2312113310221