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22313313331 = 173158577229
BaseRepresentation
bin10100110001111110…
…100010010000110011
32010121001102202120021
4110301332202100303
5331144202011311
614130043424311
71416642014431
oct246176422063
963531382507
1022313313331
119510313621
1243a8825097
132147a317aa
14111961bd51
158a8dbc171
hex531fa2433

22313313331 has 16 divisors (see below), whose sum is σ = 24395523840. Its totient is φ = 20317040640.

The previous prime is 22313313301. The next prime is 22313313343. The reversal of 22313313331 is 13331331322.

It is a cyclic number.

It is not a de Polignac number, because 22313313331 - 219 = 22312789043 is a prime.

It is a super-3 number, since 3×223133133313 (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 junction number, because it is equal to n+sod(n) for n = 22313313296 and 22313313305.

It is not an unprimeable number, because it can be changed into a prime (22313313301) 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 15 ways as a sum of consecutive naturals, for example, 3083025 + ... + 3090253.

It is an arithmetic number, because the mean of its divisors is an integer number (1524720240).

Almost surely, 222313313331 is an apocalyptic number.

22313313331 is a deficient number, since it is larger than the sum of its proper divisors (2082210509).

22313313331 is a wasteful number, since it uses less digits than its factorization.

22313313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13134.

The product of its digits is 2916, while the sum is 25.

Adding to 22313313331 its reverse (13331331322), we get a palindrome (35644644653).

The spelling of 22313313331 in words is "twenty-two billion, three hundred thirteen million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 17 31 527 5857 7229 99569 122893 181567 224099 3086639 3809683 42340253 719784301 1312547843 22313313331