Search a number
-
+
20020201304004 = 22321129203499403
BaseRepresentation
bin1001000110101010100001…
…11111001010111111000100
32121212220122020210002002100
410203111100333022333010
510111002333013212004
6110325053054112100
74134261152203626
oct443252077127704
977786566702070
1020020201304004
11641957978a800
1222b4070aab630
13b22b875b1365
144d2da9184c16
1524ab88617739
hex123550fcafc4

20020201304004 has 108 divisors (see below), whose sum is σ = 55631613976848. Its totient is φ = 6066056309280.

The previous prime is 20020201303981. The next prime is 20020201304039. The reversal of 20020201304004 is 40040310202002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39838567 + ... + 40337969.

Almost surely, 220020201304004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020201304004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815806988424).

20020201304004 is an abundant number, since it is smaller than the sum of its proper divisors (35611412672844).

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

20020201304004 is a wasteful number, since it uses less digits than its factorization.

20020201304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508638 (or 508622 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20020201304004 its reverse (40040310202002), we get a palindrome (60060511506006).

The spelling of 20020201304004 in words is "twenty trillion, twenty billion, two hundred one million, three hundred four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 9203 18406 27609 36812 55218 82827 101233 110436 165654 202466 303699 331308 404932 499403 607398 911097 998806 1113563 1214796 1498209 1822194 1997612 2227126 2996418 3340689 3644388 4454252 4494627 5493433 5992836 6681378 8989254 10022067 10986866 13362756 16480299 17978508 20044134 21973732 32960598 40088268 49440897 60427763 65921196 98881794 120855526 181283289 197763588 241711052 362566578 543849867 725133156 1087699734 2175399468 4596005809 9192011618 13788017427 18384023236 27576034854 41364052281 50556063899 55152069708 82728104562 101112127798 151668191697 165456209124 202224255596 303336383394 455004575091 556116702889 606672766788 910009150182 1112233405778 1668350108667 1820018300364 2224466811556 3336700217334 5005050326001 6673400434668 10010100652002 20020201304004