Search a number
-
+
2233322021331 = 32733399272483
BaseRepresentation
bin100000011111111100010…
…111011010000111010011
321220111121001101121101200
4200133330113122013103
5243042320414140311
64425550213402243
7320231541651222
oct40377427320723
97814531347350
102233322021331
11791168070895
123009bb039383
131327a826b11b
147a144288cb9
153d161a2d556
hex207fc5da1d3

2233322021331 has 12 divisors (see below), whose sum is σ = 3270100129608. Its totient is φ = 1468485712224.

The previous prime is 2233322021303. The next prime is 2233322021383. The reversal of 2233322021331 is 1331202233322.

2233322021331 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 322 + 0 + 2 + 1 + 331 = 666.

It is not a de Polignac number, because 2233322021331 - 215 = 2233321988563 is a prime.

It is a super-2 number, since 2×22333220213312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2233322021295 and 2233322021304.

It is not an unprimeable number, because it can be changed into a prime (2233322031331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1699635585 + ... + 1699636898.

It is an arithmetic number, because the mean of its divisors is an integer number (272508344134).

Almost surely, 22233322021331 is an apocalyptic number.

2233322021331 is a deficient number, since it is larger than the sum of its proper divisors (1036778108277).

2233322021331 is a wasteful number, since it uses less digits than its factorization.

2233322021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399272562 (or 3399272559 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2233322021331 its reverse (1331202233322), we get a palindrome (3564524254653).

The spelling of 2233322021331 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 73 219 657 3399272483 10197817449 30593452347 248146891259 744440673777 2233322021331