Search a number
-
+
2123533005 = 351119838161
BaseRepresentation
bin111111010010010…
…1000101011001101
312110222210122122120
41332210220223031
513322111024010
6550414403153
7103423506216
oct17644505315
95428718576
102123533005
1199a751860
124b32004b9
1327ac3a409
1416205440d
15c6664e70
hex7e928acd

2123533005 has 64 divisors (see below), whose sum is σ = 3949102080. Its totient is φ = 963532800.

The previous prime is 2123533001. The next prime is 2123533039. The reversal of 2123533005 is 5003353212.

It is a happy number.

It is not a de Polignac number, because 2123533005 - 22 = 2123533001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123533001) 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 63 ways as a sum of consecutive naturals, for example, 256125 + ... + 264285.

It is an arithmetic number, because the mean of its divisors is an integer number (61704720).

Almost surely, 22123533005 is an apocalyptic number.

It is an amenable number.

2123533005 is a deficient number, since it is larger than the sum of its proper divisors (1825569075).

2123533005 is a wasteful number, since it uses less digits than its factorization.

2123533005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2123533005 is about 46081.8077444885. The cubic root of 2123533005 is about 1285.3448795970.

Adding to 2123533005 its reverse (5003353212), we get a palindrome (7126886217).

The spelling of 2123533005 in words is "two billion, one hundred twenty-three million, five hundred thirty-three thousand, five".

Divisors: 1 3 5 11 15 19 33 55 57 83 95 165 209 249 285 415 627 913 1045 1245 1577 2739 3135 4565 4731 7885 8161 13695 17347 23655 24483 40805 52041 86735 89771 122415 155059 260205 269313 448855 465177 677363 775295 1346565 1705649 2032089 2325885 3386815 5116947 7450993 8528245 10160445 12869897 22352979 25584735 37254965 38609691 64349485 111764895 141568867 193048455 424706601 707844335 2123533005