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220002210012 = 2231337132728723
BaseRepresentation
bin1100110011100100100…
…1110101000011011100
3210000212022222020022110
43030321021311003130
512101031031210022
6245022334514020
721615600634044
oct3147111650334
9700768866273
10220002210012
118533656a682
123677a365910
13179912bb9c0
14a9107c0724
155ac94ca00c
hex33392750dc

220002210012 has 96 divisors (see below), whose sum is σ = 568214950912. Its totient is φ = 65811522816.

The previous prime is 220002210011. The next prime is 220002210023. The reversal of 220002210012 is 210012200022.

220002210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 220002210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002210011) 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, 7645083 + ... + 7673805.

Almost surely, 2220002210012 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 220002210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284107475456).

220002210012 is an abundant number, since it is smaller than the sum of its proper divisors (348212740900).

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

220002210012 is a wasteful number, since it uses less digits than its factorization.

220002210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30107 (or 30105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220002210012 its reverse (210012200022), we get a palindrome (430014410034).

The spelling of 220002210012 in words is "two hundred twenty billion, two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1327 1443 1924 2654 2886 3981 5308 5772 7962 15924 17251 28723 34502 49099 51753 57446 69004 86169 98198 103506 114892 147297 172338 196396 207012 294594 344676 373399 589188 638287 746798 1062751 1120197 1276574 1493596 1914861 2125502 2240394 2553148 3188253 3829722 4251004 4480788 6376506 7659444 12753012 13815763 27631526 38115421 41447289 55263052 76230842 82894578 114346263 152461684 165789156 228692526 457385052 495500473 991000946 1410270577 1486501419 1982001892 2820541154 2973002838 4230811731 5641082308 5946005676 8461623462 16923246924 18333517501 36667035002 55000552503 73334070004 110001105006 220002210012