Search a number
-
+
2002122221202 = 232111229012289
BaseRepresentation
bin11101001000100111110…
…010001010011010010010
321002101211100011212011100
4131020213302022122102
5230300321242034302
64131432351325230
7264435312041625
oct35104762123222
97071740155140
102002122221202
11702105887004
12284036820816
13116a5113266c
146cc90681dbc
153712e483d1c
hex1d227c8a692

2002122221202 has 12 divisors (see below), whose sum is σ = 4337931479310. Its totient is φ = 667374073728.

The previous prime is 2002122221153. The next prime is 2002122221213. The reversal of 2002122221202 is 2021222212002.

2002122221202 is a `hidden beast` number, since 200 + 21 + 22 + 221 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1895030313201 + 107091908001 = 1376601^2 + 327249^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 111229012289 = 2002122221202 / (2 + 0 + 0 + 2 + 1 + 2 + 2 + 2 + 2 + 1 + 2 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 55614506127 + ... + 55614506162.

Almost surely, 22002122221202 is an apocalyptic number.

2002122221202 is an abundant number, since it is smaller than the sum of its proper divisors (2335809258108).

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

2002122221202 is a wasteful number, since it uses less digits than its factorization.

2002122221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111229012297 (or 111229012294 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002122221202 its reverse (2021222212002), we get a palindrome (4023344433204).

The spelling of 2002122221202 in words is "two trillion, two billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 111229012289 222458024578 333687036867 667374073734 1001061110601 2002122221202