Search a number
-
+
333200030013 = 3237022225557
BaseRepresentation
bin1001101100101000100…
…01001111100100111101
31011212001021122022001100
410312110101033210331
520424343201430023
6413023041003313
733034002344634
oct4662421174475
91155037568040
10333200030013
11119344804234
12546b0023539
1325561173096
14121ac58251b
158a021dec43
hex4d9444f93d

333200030013 has 6 divisors (see below), whose sum is σ = 481288932254. Its totient is φ = 222133353336.

The previous prime is 333200029993. The next prime is 333200030047. The reversal of 333200030013 is 310030002333.

333200030013 is a `hidden beast` number, since 33 + 320 + 0 + 0 + 300 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 325204451289 + 7995578724 = 570267^2 + 89418^2 .

It is not a de Polignac number, because 333200030013 - 216 = 333199964477 is a prime.

It is a super-3 number, since 3×3332000300133 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333200070013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18511112770 + ... + 18511112787.

Almost surely, 2333200030013 is an apocalyptic number.

It is an amenable number.

333200030013 is a deficient number, since it is larger than the sum of its proper divisors (148088902241).

333200030013 is a wasteful number, since it uses less digits than its factorization.

333200030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37022225563 (or 37022225560 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 333200030013 its reverse (310030002333), we get a palindrome (643230032346).

The spelling of 333200030013 in words is "three hundred thirty-three billion, two hundred million, thirty thousand, thirteen".

Divisors: 1 3 9 37022225557 111066676671 333200030013