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221233323321 = 3251913473513
BaseRepresentation
bin1100111000001010001…
…0001001110100111001
3210011001010112021021200
43032002202021310321
512111041212321241
6245344433524413
721661240135503
oct3160242116471
9704033467250
10221233323321
118590849729a
1236a62713709
1317b29387b0a
14a9ca0ccd73
155b4c60e4b6
hex3382889d39

221233323321 has 12 divisors (see below), whose sum is σ = 319566075348. Its totient is φ = 147485729664.

The previous prime is 221233323319. The next prime is 221233323343. The reversal of 221233323321 is 123323332122.

221233323321 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 332 + 3 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181207719225 + 40025604096 = 425685^2 + 200064^2 .

It is not a de Polignac number, because 221233323321 - 21 = 221233323319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221233323721) 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 11 ways as a sum of consecutive naturals, for example, 230461 + ... + 703973.

It is an arithmetic number, because the mean of its divisors is an integer number (26630506279).

Almost surely, 2221233323321 is an apocalyptic number.

It is an amenable number.

221233323321 is a deficient number, since it is larger than the sum of its proper divisors (98332752027).

221233323321 is a wasteful number, since it uses less digits than its factorization.

221233323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525432 (or 525429 counting only the distinct ones).

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

Adding to 221233323321 its reverse (123323332122), we get a palindrome (344556655443).

The spelling of 221233323321 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 51913 155739 467217 473513 1420539 4261617 24581480369 73744441107 221233323321