Search a number
-
+
2203120002132 = 2234713943915919
BaseRepresentation
bin100000000011110100001…
…011110110010001010100
321210121122012222001210000
4200003310023312101110
5242043442210032012
64404033243331300
7315112240015140
oct40036413662124
97717565861700
102203120002132
1177a379895845
122b6b90520b30
1312c9a409294a
14788bb094220
153c4952ebddc
hex200f42f6454

2203120002132 has 240 divisors, whose sum is σ = 6645033472000. Its totient is φ = 623471639616.

The previous prime is 2203120002121. The next prime is 2203120002133. The reversal of 2203120002132 is 2312000213022.

2203120002132 is a `hidden beast` number, since 220 + 31 + 200 + 0 + 213 + 2 = 666.

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 (2203120002133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138387669 + ... + 138403587.

Almost surely, 22203120002132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203120002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322516736000).

2203120002132 is an abundant number, since it is smaller than the sum of its proper divisors (4441913469868).

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

2203120002132 is a wasteful number, since it uses less digits than its factorization.

2203120002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2203120002132 its reverse (2312000213022), we get a palindrome (4515120215154).

The spelling of 2203120002132 in words is "two trillion, two hundred three billion, one hundred twenty million, two thousand, one hundred thirty-two".