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2221222110012 = 22331031105718059
BaseRepresentation
bin100000010100101011001…
…001111010001100111100
321212100100210021102111000
4200110223021322030330
5242343030330010022
64420225414330300
7316322645261643
oct40245311721474
97770323242430
102221222110012
11787018a79384
122ba5a2959990
131315ca4c4299
14797172a035a
153cba46246ac
hex2052b27a33c

2221222110012 has 96 divisors (see below), whose sum is σ = 5815481817600. Its totient is φ = 733112038656.

The previous prime is 2221222110011. The next prime is 2221222110013. The reversal of 2221222110012 is 2100112221222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221222110011) and next prime (2221222110013).

It is a super-2 number, since 2×22212221100122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221222110011) 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, 122989039 + ... + 123007097.

It is an arithmetic number, because the mean of its divisors is an integer number (60577935600).

Almost surely, 22221222110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221222110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907740908800).

2221222110012 is an abundant number, since it is smaller than the sum of its proper divisors (3594259707588).

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

2221222110012 is a wasteful number, since it uses less digits than its factorization.

2221222110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29232 (or 29224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221222110012 its reverse (2100112221222), we get a palindrome (4321334331234).

The spelling of 2221222110012 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11057 11124 18059 22114 33171 36118 44228 54177 66342 72236 99513 108354 132684 162531 199026 216708 298539 325062 398052 487593 597078 650124 975186 1138871 1194156 1860077 1950372 2277742 3416613 3720154 4555484 5580231 6833226 7440308 10249839 11160462 13666452 16740693 20499678 22320924 30749517 33481386 40999356 50222079 61499034 66962772 100444158 122998068 199678363 200888316 399356726 599035089 798713452 1198070178 1797105267 2396140356 3594210534 5391315801 7188421068 10782631602 20566871389 21565263204 41133742778 61700614167 82267485556 123401228334 185101842501 246802456668 370203685002 555305527503 740407370004 1110611055006 2221222110012