Search a number
-
+
20000113202213 = 176121618924809
BaseRepresentation
bin1001000110000101000111…
…01001001001010000100101
32121210222210021110202220022
410203002203221021100211
510110140212434432323
6110311531500244525
74132650310151324
oct443024351112045
977728707422808
1020000113202213
116411000556591
1222b01a5540745
13b2100589a7b1
144d20212c80bb
1524a3aec974c8
hex1230a3a49425

20000113202213 has 16 divisors (see below), whose sum is σ = 21533710169520. Its totient is φ = 18506481868800.

The previous prime is 20000113202207. The next prime is 20000113202233. The reversal of 20000113202213 is 31220231100002.

It can be written as a sum of positive squares in 8 ways, for example, as 47516152324 + 19952597049889 = 217982^2 + 4466833^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000113202213 - 216 = 20000113136677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20000113202191 and 20000113202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000113202233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2221448 + ... + 6703361.

It is an arithmetic number, because the mean of its divisors is an integer number (1345856885595).

Almost surely, 220000113202213 is an apocalyptic number.

It is an amenable number.

20000113202213 is a deficient number, since it is larger than the sum of its proper divisors (1533596967307).

20000113202213 is a wasteful number, since it uses less digits than its factorization.

20000113202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927048.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20000113202213 its reverse (31220231100002), we get a palindrome (51220344302215).

The spelling of 20000113202213 in words is "twenty trillion, one hundred thirteen million, two hundred two thousand, two hundred thirteen".

Divisors: 1 17 61 1037 2161 36737 131821 2240957 8924809 151721753 544413349 9255026933 19286512249 327870708233 1176477247189 20000113202213