Search a number
-
+
2120122323 = 331118139439
BaseRepresentation
bin111111001011110…
…0111111111010011
312110202101101002000
41332113213333103
513320222403243
6550213325043
7103352512434
oct17627477723
95422341060
102120122323
11998832310
124b2036783
1327a314b67
1416180748b
15c61de5d3
hex7e5e7fd3

2120122323 has 32 divisors (see below), whose sum is σ = 3445478400. Its totient is φ = 1277791200.

The previous prime is 2120122321. The next prime is 2120122331. The reversal of 2120122323 is 3232210212.

It is not a de Polignac number, because 2120122323 - 21 = 2120122321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120122296 and 2120122305.

It is not an unprimeable number, because it can be changed into a prime (2120122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34038 + ... + 73476.

It is an arithmetic number, because the mean of its divisors is an integer number (107671200).

Almost surely, 22120122323 is an apocalyptic number.

2120122323 is a deficient number, since it is larger than the sum of its proper divisors (1325356077).

2120122323 is a wasteful number, since it uses less digits than its factorization.

2120122323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39640 (or 39634 counting only the distinct ones).

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

The square root of 2120122323 is about 46044.7860566210. The cubic root of 2120122323 is about 1284.6563647842.

Adding to 2120122323 its reverse (3232210212), we get a palindrome (5352332535).

The spelling of 2120122323 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 181 297 543 1629 1991 4887 5973 17919 39439 53757 118317 354951 433829 1064853 1301487 3904461 7138459 11713383 21415377 64246131 78523049 192738393 235569147 706707441 2120122323