Search a number
-
+
213123321020032 = 273887342832453
BaseRepresentation
bin110000011101010110100011…
…110101111011111010000000
31000221121101112200101111101021
4300131112203311323322000
5210413303030140120112
62033135300235315224
762614436400421603
oct6035264365737200
91027541480344337
10213123321020032
11619a9102669715
121baa0888babb14
1391bc59b193467
143a8b31c08033a
151998c60032907
hexc1d5a3d7be80

213123321020032 has 32 divisors (see below), whose sum is σ = 424592548282980. Its totient is φ = 106558916745216.

The previous prime is 213123321020011. The next prime is 213123321020047. The reversal of 213123321020032 is 230020123321312.

It can be written as a sum of positive squares in 2 ways, for example, as 169027665132096 + 44095655887936 = 13001064^2 + 6640456^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2131233210200322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213123321019979 and 213123321020006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16440483 + ... + 26391970.

Almost surely, 2213123321020032 is an apocalyptic number.

It is an amenable number.

213123321020032 is a deficient number, since it is larger than the sum of its proper divisors (211469227262948).

213123321020032 is an equidigital number, since it uses as much as digits as its factorization.

213123321020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42871340 (or 42871328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 213123321020032 its reverse (230020123321312), we get a palindrome (443143444341344).

The spelling of 213123321020032 in words is "two hundred thirteen trillion, one hundred twenty-three billion, three hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 38873 77746 155492 310984 621968 1243936 2487872 4975744 42832453 85664906 171329812 342659624 685319248 1370638496 2741276992 5482553984 1665025945469 3330051890938 6660103781876 13320207563752 26640415127504 53280830255008 106561660510016 213123321020032