Search a number
-
+
2120013104 = 241115677687
BaseRepresentation
bin111111001011100…
…1101010100110000
312110202011211020212
41332113031110300
513320210404404
6550211123252
7103351546136
oct17627152460
95422154225
102120013104
11998768250
124b1ba3528
1327a2a7231
141617b9756
15c61bc06e
hex7e5cd530

2120013104 has 40 divisors (see below), whose sum is σ = 4484379648. Its totient is φ = 962902080.

The previous prime is 2120013097. The next prime is 2120013107. The reversal of 2120013104 is 4013100212.

It is a super-2 number, since 2×21200131042 = 8988911122263429632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120013107) 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 7 ways as a sum of consecutive naturals, for example, 271949 + ... + 279635.

Almost surely, 22120013104 is an apocalyptic number.

It is an amenable number.

2120013104 is an abundant number, since it is smaller than the sum of its proper divisors (2364366544).

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

2120013104 is a wasteful number, since it uses less digits than its factorization.

2120013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2120013104 is about 46043.6000330122. The cubic root of 2120013104 is about 1284.6343045330.

Adding to 2120013104 its reverse (4013100212), we get a palindrome (6133113316).

The spelling of 2120013104 in words is "two billion, one hundred twenty million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1567 3134 6268 7687 12536 15374 17237 25072 30748 34474 61496 68948 84557 122992 137896 169114 275792 338228 676456 1352912 12045529 24091058 48182116 96364232 132500819 192728464 265001638 530003276 1060006552 2120013104