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22213031313 = 31129179129671
BaseRepresentation
bin10100101011111111…
…111111010110010001
32010100001201220111110
4110223333333112101
5330443014000223
614112102203533
71414313436144
oct245377772621
963301656443
1022213031313
11946974a220
12437b1235a9
13213001c815
14110a19605b
158a01add93
hex52bfff591

22213031313 has 32 divisors (see below), whose sum is σ = 33610982400. Its totient is φ = 12925505600.

The previous prime is 22213031299. The next prime is 22213031353. The reversal of 22213031313 is 31313031222.

It is a cyclic number.

It is not a de Polignac number, because 22213031313 - 210 = 22213030289 is a prime.

It is a super-2 number, since 2×222130313132 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22213031313.

It is not an unprimeable number, because it can be changed into a prime (22213031353) 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 31 ways as a sum of consecutive naturals, for example, 106468 + ... + 236138.

It is an arithmetic number, because the mean of its divisors is an integer number (1050343200).

Almost surely, 222213031313 is an apocalyptic number.

It is an amenable number.

22213031313 is a deficient number, since it is larger than the sum of its proper divisors (11397951087).

22213031313 is a wasteful number, since it uses less digits than its factorization.

22213031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129893.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22213031313 its reverse (31313031222), we get a palindrome (53526062535).

Subtracting 22213031313 from its reverse (31313031222), we obtain a palindrome (9099999909).

The spelling of 22213031313 in words is "twenty-two billion, two hundred thirteen million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 11 29 33 87 179 319 537 957 1969 5191 5907 15573 57101 129671 171303 389013 1426381 3760459 4279143 11281377 23211109 41365049 69633327 124095147 255322199 673122161 765966597 2019366483 7404343771 22213031313