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2112223320330 = 235719711021271
BaseRepresentation
bin11110101111001010010…
…100100001100100001010
321110221000110211012110120
4132233022110201210022
5234101313132222310
64254201512124110
7305413601663004
oct36571224414412
97427013735416
102112223320330
11744874aa9412
122a1443396636
13124249569426
1474337061374
1539e2539bb70
hex1ebca52190a

2112223320330 has 64 divisors (see below), whose sum is σ = 5146034374656. Its totient is φ = 554753864000.

The previous prime is 2112223320329. The next prime is 2112223320331. The reversal of 2112223320330 is 330233222112.

It is an interprime number because it is at equal distance from previous prime (2112223320329) and next prime (2112223320331).

It is a super-2 number, since 2×21122233203302 (a number of 25 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 2112223320330.

It is not an unprimeable number, because it can be changed into a prime (2112223320331) 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 31 ways as a sum of consecutive naturals, for example, 1557595 + ... + 2578865.

It is an arithmetic number, because the mean of its divisors is an integer number (80406787104).

Almost surely, 22112223320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112223320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573017187328).

2112223320330 is an abundant number, since it is smaller than the sum of its proper divisors (3033811054326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112223320330 is a wasteful number, since it uses less digits than its factorization.

2112223320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022323.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2112223320330 its reverse (330233222112), we get a palindrome (2442456542442).

The spelling of 2112223320330 in words is "two trillion, one hundred twelve billion, two hundred twenty-three million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 971 1065 1942 2130 2913 4855 5826 9710 14565 29130 68941 137882 206823 344705 413646 689410 1021271 1034115 2042542 2068230 3063813 5106355 6127626 10212710 15319065 30638130 72510241 145020482 217530723 362551205 435061446 725102410 991654141 1087653615 1983308282 2175307230 2974962423 4958270705 5949924846 9916541410 14874812115 29749624230 70407444011 140814888022 211222332033 352037220055 422444664066 704074440110 1056111660165 2112223320330