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1010222010112 = 287292670321
BaseRepresentation
bin11101011001101011110…
…11001000111100000000
310120120120002221100020011
432230311323020330000
5113022413313310422
62052031203354304
7132662146255540
oct16546573107400
93516502840204
101010222010112
1135a483a96437
12143955382994
1374356c78633
1436c75c7b320
151b428d7a077
hexeb35ec8f00

1010222010112 has 108 divisors (see below), whose sum is σ = 2386780688656. Its totient is φ = 418022277120.

The previous prime is 1010222010011. The next prime is 1010222010121. The reversal of 1010222010112 is 2110102220101.

1010222010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010222010092 and 1010222010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171912 + ... + 1842232.

Almost surely, 21010222010112 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 1010222010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193390344328).

1010222010112 is an abundant number, since it is smaller than the sum of its proper divisors (1376558678544).

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

1010222010112 is an frugal number, since it uses more digits than its factorization.

1010222010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670402 (or 670359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010222010112 its reverse (2110102220101), we get a palindrome (3120324230213).

The spelling of 1010222010112 in words is "one trillion, ten billion, two hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 841 896 928 1624 1682 1792 1856 3248 3364 3712 5887 6496 6728 7424 11774 12992 13456 23548 25984 26912 47096 51968 53824 94192 107648 188384 215296 376768 670321 753536 1340642 1507072 2681284 4692247 5362568 9384494 10725136 18768988 19439309 21450272 37537976 38878618 42900544 75075952 77757236 85801088 136075163 150151904 155514472 171602176 272150326 300303808 311028944 544300652 563739961 600607616 622057888 1088601304 1127479922 1201215232 1244115776 2177202608 2254959844 2488231552 3946179727 4354405216 4509919688 4976463104 7892359454 8708810432 9019839376 15784718908 17417620864 18039678752 31569437816 34835241728 36079357504 63138875632 72158715008 126277751264 144317430016 252555502528 505111005056 1010222010112