Search a number
-
+
21020004224334 = 232131433148113901
BaseRepresentation
bin1001100011110000110011…
…11000101000110101001110
32202102111022020100211002100
410301320121320220311032
510223342432040134314
6112412242344335530
74266434204620443
oct461703170506516
982374266324070
1021020004224334
116774596437835
122435998a745a6
13b96240aa5bbb
145295333699ca
15266ba28eec09
hex131e19e28d4e

21020004224334 has 96 divisors (see below), whose sum is σ = 46031354617248. Its totient is φ = 6931941120000.

The previous prime is 21020004224293. The next prime is 21020004224411. The reversal of 21020004224334 is 43342240002012.

21020004224334 is a `hidden beast` number, since 2 + 1 + 0 + 200 + 0 + 4 + 22 + 433 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21020004224298 and 21020004224307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512114784 + ... + 1512128684.

It is an arithmetic number, because the mean of its divisors is an integer number (479493277263).

Almost surely, 221020004224334 is an apocalyptic number.

21020004224334 is an abundant number, since it is smaller than the sum of its proper divisors (25011350392914).

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

21020004224334 is a wasteful number, since it uses less digits than its factorization.

21020004224334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15951 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21020004224334 its reverse (43342240002012), we get a palindrome (64362244226346).

The spelling of 21020004224334 in words is "twenty-one trillion, twenty billion, four million, two hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 131 262 393 433 786 866 1179 1299 1481 2358 2598 2962 3897 4443 7794 8886 13329 13901 26658 27802 41703 56723 83406 113446 125109 170169 194011 250218 340338 388022 510507 582033 641273 1021014 1164066 1282546 1746099 1821031 1923819 3492198 3642062 3847638 5463093 5771457 6019133 10926186 11542914 12038266 16389279 18057399 20587381 32778558 36114798 41174762 54172197 61762143 84006763 108344394 123524286 168013526 185286429 252020289 370572858 504040578 756060867 788506423 1512121734 1577012846 2365519269 2696946911 4731038538 5393893822 7096557807 8090840733 8914335973 14193115614 16181681466 17828671946 24272522199 26743007919 48545044398 53486015838 80229023757 160458047514 1167778012463 2335556024926 3503334037389 7006668074778 10510002112167 21020004224334