Search a number
-
+
20031020322084 = 22321813074128349
BaseRepresentation
bin1001000110111110101011…
…10110011100110100100100
32121220221120020200010210200
410203133111312130310210
510111142012200301314
6110334042415150500
74135123233301452
oct443372566346444
977827506603720
1020031020322084
116423120845162
1222b6190215430
13b23bbcb7cbc5
144d3713dc39d2
1524b0bd357709
hex1237d5d9cd24

20031020322084 has 36 divisors (see below), whose sum is σ = 50913713732700. Its totient is φ = 6640117231680.

The previous prime is 20031020322083. The next prime is 20031020322113. The reversal of 20031020322084 is 48022302013002.

20031020322084 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 20 + 322 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5620796955684 + 14410223366400 = 2370822^2 + 3796080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (20031020322083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1537057659 + ... + 1537070690.

Almost surely, 220031020322084 is an apocalyptic number.

It is an amenable number.

20031020322084 is an abundant number, since it is smaller than the sum of its proper divisors (30882693410616).

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

20031020322084 is a wasteful number, since it uses less digits than its factorization.

20031020322084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074128540 (or 3074128535 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 20031020322084 its reverse (48022302013002), we get a palindrome (68053322335086).

The spelling of 20031020322084 in words is "twenty trillion, thirty-one billion, twenty million, three hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 3074128349 6148256698 9222385047 12296513396 18444770094 27667155141 36889540188 55334310282 110668620564 556417231169 1112834462338 1669251693507 2225668924676 3338503387014 5007755080521 6677006774028 10015510161042 20031020322084