Search a number
-
+
2123310330 = 2325432272417
BaseRepresentation
bin111111010001111…
…0010010011111010
312110222101100012100
41332203302103322
513322031412310
6550405524230
7103421561061
oct17643622372
95428340170
102123310330
1199a60a529
124b3113676
1327ab8cc5b
14161dd71d8
15c661dec0
hex7e8f24fa

2123310330 has 96 divisors (see below), whose sum is σ = 5676225984. Its totient is φ = 550384128.

The previous prime is 2123310317. The next prime is 2123310331. The reversal of 2123310330 is 330133212.

2123310330 is a `hidden beast` number, since 2 + 1 + 2 + 331 + 0 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2123310331) 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 47 ways as a sum of consecutive naturals, for example, 877282 + ... + 879698.

It is an arithmetic number, because the mean of its divisors is an integer number (59127354).

Almost surely, 22123310330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838112992).

2123310330 is an abundant number, since it is smaller than the sum of its proper divisors (3552915654).

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

2123310330 is a wasteful number, since it uses less digits than its factorization.

2123310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2123310330 is about 46079.3915975461. The cubic root of 2123310330 is about 1285.2999506704.

Adding to 2123310330 its reverse (330133212), we get a palindrome (2453443542).

The spelling of 2123310330 in words is "two billion, one hundred twenty-three million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 227 258 387 430 454 645 681 774 1135 1290 1362 1935 2043 2270 2417 3405 3870 4086 4834 6810 7251 9761 10215 12085 14502 19522 20430 21753 24170 29283 36255 43506 48805 58566 72510 87849 97610 103931 108765 146415 175698 207862 217530 292830 311793 439245 519655 548659 623586 878490 935379 1039310 1097318 1558965 1645977 1870758 2743295 3117930 3291954 4676895 4937931 5486590 8229885 9353790 9875862 16459770 23592337 24689655 47184674 49379310 70777011 117961685 141554022 212331033 235923370 353885055 424662066 707770110 1061655165 2123310330