Search a number
-
+
2211123314331 = 322140711476637
BaseRepresentation
bin100000001011010001001…
…110000011111010011011
321211101021222121110011100
4200023101032003322123
5242211340032024311
64411435342202443
7315514461031641
oct40132116037233
97741258543140
102211123314331
11782806515748
122b8644883423
1313067b1c5539
1479039d81191
153c7b2c4da56
hex202d1383e9b

2211123314331 has 12 divisors (see below), whose sum is σ = 3193994261952. Its totient is φ = 1474013221296.

The previous prime is 2211123314299. The next prime is 2211123314353. The reversal of 2211123314331 is 1334133211122.

2211123314331 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 12 + 3 + 314 + 331 = 666.

It is not a de Polignac number, because 2211123314331 - 25 = 2211123314299 is a prime.

It is a super-2 number, since 2×22111233143312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211123314295 and 2211123314304.

It is not an unprimeable number, because it can be changed into a prime (2211123314381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5545656 + ... + 5930981.

It is an arithmetic number, because the mean of its divisors is an integer number (266166188496).

Almost surely, 22211123314331 is an apocalyptic number.

2211123314331 is a deficient number, since it is larger than the sum of its proper divisors (982870947621).

2211123314331 is a wasteful number, since it uses less digits than its factorization.

2211123314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11498050 (or 11498047 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 2211123314331 its reverse (1334133211122), we get a palindrome (3545256525453).

The spelling of 2211123314331 in words is "two trillion, two hundred eleven billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 9 21407 64221 192663 11476637 34429911 103289733 245680368259 737041104777 2211123314331