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20430144333 = 322270016037
BaseRepresentation
bin10011000001101110…
…110100001101001101
31221201210220212100100
4103001232310031031
5313320104104313
613215132521313
71322164235004
oct230156641515
957653825310
1020430144333
118734313905
123b62020239
131c07841b01
14dbb495c3b
157e88d6173
hex4c1bb434d

20430144333 has 6 divisors (see below), whose sum is σ = 29510208494. Its totient is φ = 13620096216.

The previous prime is 20430144283. The next prime is 20430144401. The reversal of 20430144333 is 33344103402.

20430144333 is a `hidden beast` number, since 20 + 4 + 301 + 4 + 4 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20420981604 + 9162729 = 142902^2 + 3027^2 .

It is not a de Polignac number, because 20430144333 - 218 = 20429882189 is a prime.

It is a super-3 number, since 3×204301443333 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20430144297 and 20430144306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430146333) 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 5 ways as a sum of consecutive naturals, for example, 1135008010 + ... + 1135008027.

Almost surely, 220430144333 is an apocalyptic number.

It is an amenable number.

20430144333 is a deficient number, since it is larger than the sum of its proper divisors (9080064161).

20430144333 is a wasteful number, since it uses less digits than its factorization.

20430144333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270016043 (or 2270016040 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20430144333 its reverse (33344103402), we get a palindrome (53774247735).

The spelling of 20430144333 in words is "twenty billion, four hundred thirty million, one hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 2270016037 6810048111 20430144333