Search a number
-
+
100222010002212 = 22376761176470813
BaseRepresentation
bin10110110010011011000001…
…010011100000101100100100
3111010212010112012022011201020
4112302123001103200230210
5101114014134030032322
6553053204503331140
730052541560054020
oct2662330123405444
9433763465264636
10100222010002212
1129a2aa0895584a
12b2a7844450ab0
1343bcb833a9967
141aa6ab2119380
15b8c01019b05c
hex5b26c14e0b24

100222010002212 has 48 divisors (see below), whose sum is σ = 267298224316032. Its totient is φ = 28630624538880.

The previous prime is 100222010002133. The next prime is 100222010002271. The reversal of 100222010002212 is 212200010222001.

It is a junction number, because it is equal to n+sod(n) for n = 100222010002191 and 100222010002200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87667483 + ... + 88803330.

It is an arithmetic number, because the mean of its divisors is an integer number (5568713006584).

Almost surely, 2100222010002212 is an apocalyptic number.

100222010002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222010002212 is an abundant number, since it is smaller than the sum of its proper divisors (167076214313820).

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

100222010002212 is a wasteful number, since it uses less digits than its factorization.

100222010002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176477588 (or 176477586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100222010002212 its reverse (212200010222001), we get a palindrome (312422020224213).

The spelling of 100222010002212 in words is "one hundred trillion, two hundred twenty-two billion, ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 6761 13522 20283 27044 40566 47327 81132 94654 141981 189308 283962 567924 176470813 352941626 529412439 705883252 1058824878 1235295691 2117649756 2470591382 3705887073 4941182764 7411774146 14823548292 1193119166693 2386238333386 3579357500079 4772476666772 7158715000158 8351834166851 14317430000316 16703668333702 25055502500553 33407336667404 50111005001106 100222010002212