Search a number
-
+
2202120112122 = 23273356676403
BaseRepresentation
bin100000000010111000100…
…101100100011111111010
321210112001112111101112200
4200002320211210133322
5242034420222041442
64403350124251030
7315045406053000
oct40027045443772
97715045441480
102202120112122
11779a06437667
122b69516a0a76
1312c874b93858
1478824374a70
153c43763d34c
hex200b89647fa

2202120112122 has 48 divisors (see below), whose sum is σ = 5564151902400. Its totient is φ = 629177173128.

The previous prime is 2202120112069. The next prime is 2202120112147. The reversal of 2202120112122 is 2212110212022.

It is a happy number.

2202120112122 is a `hidden beast` number, since 220 + 212 + 0 + 112 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202120112095 and 2202120112104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 178332028 + ... + 178344375.

It is an arithmetic number, because the mean of its divisors is an integer number (115919831300).

Almost surely, 22202120112122 is an apocalyptic number.

2202120112122 is an abundant number, since it is smaller than the sum of its proper divisors (3362031790278).

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

2202120112122 is a wasteful number, since it uses less digits than its factorization.

2202120112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356676432 (or 356676415 counting only the distinct ones).

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

Adding to 2202120112122 its reverse (2212110212022), we get a palindrome (4414230324144).

The spelling of 2202120112122 in words is "two trillion, two hundred two billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 356676403 713352806 1070029209 2140058418 2496734821 3210087627 4993469642 6420175254 7490204463 14980408926 17477143747 22470613389 34954287494 44941226778 52431431241 104862862482 122340006229 157294293723 244680012458 314588587446 367020018687 734040037374 1101060056061 2202120112122