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22313201321 = 1091491373881
BaseRepresentation
bin10100110001111110…
…000110111010101001
32010121001020001220202
4110301332012322221
5331144134420241
614130041201545
71416641040035
oct246176067251
963531201822
1022313201321
119510247454
1243a87902b5
1321479c2808
1411195cd1c5
158a8d98d9b
hex531f86ea9

22313201321 has 8 divisors (see below), whose sum is σ = 22669053000. Its totient is φ = 21960097920.

The previous prime is 22313201299. The next prime is 22313201363. The reversal of 22313201321 is 12310231322.

It can be written as a sum of positive squares in 4 ways, for example, as 4791721 + 22308409600 = 2189^2 + 149360^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22313201321 - 230 = 21239459497 is a prime.

It is a super-3 number, since 3×223132013213 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22313201293 and 22313201302.

It is not an unprimeable number, because it can be changed into a prime (22313201021) 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 7 ways as a sum of consecutive naturals, for example, 670700 + ... + 703181.

It is an arithmetic number, because the mean of its divisors is an integer number (2833631625).

Almost surely, 222313201321 is an apocalyptic number.

It is an amenable number.

22313201321 is a deficient number, since it is larger than the sum of its proper divisors (355851679).

22313201321 is a wasteful number, since it uses less digits than its factorization.

22313201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374139.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22313201321 its reverse (12310231322), we get a palindrome (34623432643).

The spelling of 22313201321 in words is "twenty-two billion, three hundred thirteen million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 109 149 16241 1373881 149753029 204708269 22313201321