Search a number
-
+
2211121013321 = 1147297938107
BaseRepresentation
bin100000001011010001000…
…101010010001001001001
321211101021211021112202202
4200023101011102021021
5242211333434411241
64411435221005545
7315514432336313
oct40132105221111
97741254245682
102211121013321
11782805193990
122b8643b538b5
1313067a89b0ac
14790399427b3
153c7b2946d9b
hex202d1152249

2211121013321 has 24 divisors (see below), whose sum is σ = 2489956273056. Its totient is φ = 1947057765120.

The previous prime is 2211121013317. The next prime is 2211121013351. The reversal of 2211121013321 is 1233101211122.

It is not a de Polignac number, because 2211121013321 - 22 = 2211121013317 is a prime.

It is a super-2 number, since 2×22111210133212 (a number of 25 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 = 2211121013293 and 2211121013302.

It is not an unprimeable number, because it can be changed into a prime (2211121013351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887950 + ... + 2826056.

It is an arithmetic number, because the mean of its divisors is an integer number (103748178044).

Almost surely, 22211121013321 is an apocalyptic number.

It is an amenable number.

2211121013321 is a deficient number, since it is larger than the sum of its proper divisors (278835259735).

2211121013321 is an equidigital number, since it uses as much as digits as its factorization.

2211121013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938309 (or 938262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2211121013321 its reverse (1233101211122), we get a palindrome (3444222224443).

The spelling of 2211121013321 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, thirteen thousand, three hundred twenty-one".

Divisors: 1 11 47 97 517 1067 2209 4559 24299 50149 214273 938107 2357003 10319177 44091029 90996379 485001319 1000960169 2072278363 4276829813 22795061993 47045127943 201011001211 2211121013321