Search a number
-
+
21233103330 = 23567127223373
BaseRepresentation
bin10011110001100101…
…110111000111100010
32000210202211102000110
4103301211313013202
5321441133301310
613430535032150
71351114254225
oct236145670742
960722742013
1021233103330
11900659588a
124146b0b656
132004cbc78a
141055d915bc
15844144d20
hex4f19771e2

21233103330 has 128 divisors (see below), whose sum is σ = 52501413888. Its totient is φ = 5494148352.

The previous prime is 21233103293. The next prime is 21233103341. The reversal of 21233103330 is 3330133212.

It is a junction number, because it is equal to n+sod(n) for n = 21233103297 and 21233103306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56925024 + ... + 56925396.

It is an arithmetic number, because the mean of its divisors is an integer number (410167296).

Almost surely, 221233103330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233103330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250706944).

21233103330 is an abundant number, since it is smaller than the sum of its proper divisors (31268310558).

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

21233103330 is a wasteful number, since it uses less digits than its factorization.

21233103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21233103330 its reverse (3330133212), we get a palindrome (24563236542).

The spelling of 21233103330 in words is "twenty-one billion, two hundred thirty-three million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 127 134 201 223 254 335 373 381 402 446 635 669 670 746 762 1005 1115 1119 1270 1338 1865 1905 2010 2230 2238 3345 3730 3810 5595 6690 8509 11190 14941 17018 24991 25527 28321 29882 42545 44823 47371 49982 51054 56642 74705 74973 83179 84963 85090 89646 94742 124955 127635 141605 142113 149410 149946 166358 169926 224115 236855 249537 249910 255270 283210 284226 374865 415895 424815 448230 473710 499074 710565 749730 831790 849630 1247685 1421130 1897507 2495370 3173857 3795014 5572993 5692521 6347714 9487535 9521571 10563733 11145986 11385042 15869285 16718979 18975070 19043142 21127466 27864965 28462605 31691199 31738570 33437958 47607855 52818665 55729930 56925210 63382398 83594895 95215710 105637330 158455995 167189790 316911990 707770111 1415540222 2123310333 3538850555 4246620666 7077701110 10616551665 21233103330