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2213112321 = 33737331393
BaseRepresentation
bin1000001111101001…
…0110101000000001
312201020100202101000
42003322112220001
514013024043241
61003334402213
7105562100340
oct20372265001
95636322330
102213112321
11a36276052
12519200369
13293672a24
1416dcd1b57
15ce45beb6
hex83e96a01

2213112321 has 32 divisors (see below), whose sum is σ = 3757233920. Its totient is φ = 1261204992.

The previous prime is 2213112313. The next prime is 2213112331. The reversal of 2213112321 is 1232113122.

It is not a de Polignac number, because 2213112321 - 23 = 2213112313 is a prime.

It is a super-2 number, since 2×22131123212 = 9795732290724014082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2213112294 and 2213112303.

It is not an unprimeable number, because it can be changed into a prime (2213112331) 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, 54801 + ... + 86193.

It is an arithmetic number, because the mean of its divisors is an integer number (117413560).

Almost surely, 22213112321 is an apocalyptic number.

2213112321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2213112321 is a deficient number, since it is larger than the sum of its proper divisors (1544121599).

2213112321 is a wasteful number, since it uses less digits than its factorization.

2213112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31782 (or 31776 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2213112321 is about 47043.7277540800. The cubic root of 2213112321 is about 1303.1702352291.

Adding to 2213112321 its reverse (1232113122), we get a palindrome (3445225443).

The spelling of 2213112321 in words is "two billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 373 1119 2611 3357 7833 10071 23499 31393 70497 94179 219751 282537 659253 847611 1977759 5933277 11709589 35128767 81967123 105386301 245901369 316158903 737704107 2213112321