Search a number
-
+
10022112220212 = 22322202712638671
BaseRepresentation
bin1001000111010111010001…
…1100000101010000110100
31022111002211020021102111100
42101311310130011100310
52303200241212021322
633152032250410100
72053034166202521
oct221656434052064
938432736242440
1010022112220212
113214399088384
12115a429130930
1357910930c2b1
14269103b62148
15125a7133bdac
hex91d74705434

10022112220212 has 36 divisors (see below), whose sum is σ = 25334824680256. Its totient is φ = 3340552145040.

The previous prime is 10022112220177. The next prime is 10022112220217. The reversal of 10022112220212 is 21202221122001.

It is a happy number.

10022112220212 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 12 + 220 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (10022112220217) 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 11 ways as a sum of consecutive naturals, for example, 5526364 + ... + 7112307.

Almost surely, 210022112220212 is an apocalyptic number.

10022112220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022112220212 is an abundant number, since it is smaller than the sum of its proper divisors (15312712460044).

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

10022112220212 is a wasteful number, since it uses less digits than its factorization.

10022112220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660708 (or 12660703 counting only the distinct ones).

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

Adding to 10022112220212 its reverse (21202221122001), we get a palindrome (31224333342213).

The spelling of 10022112220212 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 22027 44054 66081 88108 132162 198243 264324 396486 792972 12638671 25277342 37916013 50554684 75832026 113748039 151664052 227496078 454992156 278392006117 556784012234 835176018351 1113568024468 1670352036702 2505528055053 3340704073404 5011056110106 10022112220212