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21144234020 = 22572131659673
BaseRepresentation
bin10011101100010010…
…110110100000100100
32000120120121101020112
4103230102312200210
5321300410442040
613414042152152
71345655011100
oct235422664044
960516541215
1021144234020
118a70406a78
1241211b2658
131cbc7753a0
14104825a900
1583b43d365
hex4ec4b6824

21144234020 has 72 divisors (see below), whose sum is σ = 55625633784. Its totient is φ = 6691797504.

The previous prime is 21144234019. The next prime is 21144234031. The reversal of 21144234020 is 2043244112.

It can be written as a sum of positive squares in 4 ways, for example, as 4827748324 + 16316485696 = 69482^2 + 127736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817097 + ... + 842576.

It is an arithmetic number, because the mean of its divisors is an integer number (772578247).

Almost surely, 221144234020 is an apocalyptic number.

21144234020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144234020 is an abundant number, since it is smaller than the sum of its proper divisors (34481399764).

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

21144234020 is a wasteful number, since it uses less digits than its factorization.

21144234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659709 (or 1659700 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 21144234020 its reverse (2043244112), we get a palindrome (23187478132).

The spelling of 21144234020 in words is "twenty-one billion, one hundred forty-four million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 1659673 3319346 6638692 8298365 11617711 16596730 21575749 23235422 33193460 43151498 46470844 58088555 81323977 86302996 107878745 116177110 151030243 162647954 215757490 232354220 302060486 325295908 406619885 431514980 604120972 755151215 813239770 1057211701 1510302430 1626479540 2114423402 3020604860 4228846804 5286058505 10572117010 21144234020