Search a number
-
+
21114203214 = 23131073377507
BaseRepresentation
bin10011101010100000…
…010010110001001110
32000111111002122201110
4103222200102301032
5321220214000324
613411050352450
71345141523526
oct235240226116
960444078643
1021114203214
118a55465425
12411312b726
131cb648c390
141044280686
158389aa329
hex4ea812c4e

21114203214 has 64 divisors (see below), whose sum is σ = 46044101376. Its totient is φ = 6416008704.

The previous prime is 21114203213. The next prime is 21114203221. The reversal of 21114203214 is 41230241112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114203213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2808849 + ... + 2816355.

It is an arithmetic number, because the mean of its divisors is an integer number (719439084).

Almost surely, 221114203214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114203214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022050688).

21114203214 is an abundant number, since it is smaller than the sum of its proper divisors (24929898162).

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

21114203214 is a wasteful number, since it uses less digits than its factorization.

21114203214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21114203214 its reverse (41230241112), we get a palindrome (62344444326).

The spelling of 21114203214 in words is "twenty-one billion, one hundred fourteen million, two hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 337 642 674 1011 1391 2022 2782 4173 4381 7507 8346 8762 13143 15014 22521 26286 36059 45042 72118 97591 108177 195182 216354 292773 468767 585546 803249 937534 1406301 1606498 2409747 2529859 2812602 4819494 5059718 7589577 10442237 15179154 20884474 31326711 32888167 62653422 65776334 98664501 197329002 270694913 541389826 812084739 1624169478 3519033869 7038067738 10557101607 21114203214