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2221320312333 = 331075231146987
BaseRepresentation
bin100000010100110001000…
…000100001011000001101
321212100121122001121202000
4200110301000201120031
5242343230444443313
64420243243222513
7316325250056043
oct40246100413015
97770548047660
102221320312333
11787069452221
122ba60b817a39
13131614958775
1479726344393
153cbad071673
hex2053102160d

2221320312333 has 32 divisors (see below), whose sum is σ = 3322258053120. Its totient is φ = 1466749776240.

The previous prime is 2221320312313. The next prime is 2221320312347. The reversal of 2221320312333 is 3332130231222.

2221320312333 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 320 + 3 + 1 + 2 + 333 = 666.

It is not a de Polignac number, because 2221320312333 - 25 = 2221320312301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2221320312297 and 2221320312306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221320312313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15038866 + ... + 15185852.

It is an arithmetic number, because the mean of its divisors is an integer number (103820564160).

Almost surely, 22221320312333 is an apocalyptic number.

It is an amenable number.

2221320312333 is a deficient number, since it is larger than the sum of its proper divisors (1100937740787).

2221320312333 is a wasteful number, since it uses less digits than its factorization.

2221320312333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152334 (or 152328 counting only the distinct ones).

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

Adding to 2221320312333 its reverse (3332130231222), we get a palindrome (5553450543555).

The spelling of 2221320312333 in words is "two trillion, two hundred twenty-one billion, three hundred twenty million, three hundred twelve thousand, three hundred thirty-three".

Divisors: 1 3 9 27 107 321 963 2889 5231 15693 47079 141237 146987 440961 559717 1322883 1679151 3968649 5037453 15112359 15727609 47182827 141548481 424645443 768888997 2306666991 6920000973 20760002919 82271122679 246813368037 740440104111 2221320312333