Search a number
-
+
2002212002131 = 114310341097149
BaseRepresentation
bin11101001000101101001…
…000101001100101010011
321002102001121010012102221
4131020231020221211103
5230301012233032011
64131445315521511
7264440452132615
oct35105510514523
97072047105387
102002212002131
11702151528820
122840608b9297
13116a66908983
146cc9c572db5
15371372ba971
hex1d22d229953

2002212002131 has 16 divisors (see below), whose sum is σ = 2256726700800. Its totient is φ = 1760601820320.

The previous prime is 2002212002099. The next prime is 2002212002143. The reversal of 2002212002131 is 1312002122002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002212002131 - 25 = 2002212002099 is a prime.

It is a super-2 number, since 2×20022120021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002212003131) 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 15 ways as a sum of consecutive naturals, for example, 20499856 + ... + 20597293.

It is an arithmetic number, because the mean of its divisors is an integer number (141045418800).

Almost surely, 22002212002131 is an apocalyptic number.

2002212002131 is a deficient number, since it is larger than the sum of its proper divisors (254514698669).

2002212002131 is a wasteful number, since it uses less digits than its factorization.

2002212002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41097306.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2002212002131 its reverse (1312002122002), we get a palindrome (3314214124133).

The spelling of 2002212002131 in words is "two trillion, two billion, two hundred twelve million, two thousand, one hundred thirty-one".

Divisors: 1 11 43 103 473 1133 4429 48719 41097149 452068639 1767177407 4233006347 19438951477 46563069817 182019272921 2002212002131