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20432004021 = 321113157101119
BaseRepresentation
bin10011000001110101…
…111010001110110101
31221201221102100100200
4103001311322032311
5313321043112041
613215240431113
71322216111562
oct230165721665
957657370320
1020432004021
118735374040
123b62778499
131c08043410
14dbb81b869
157e8b521b6
hex4c1d7a3b5

20432004021 has 48 divisors (see below), whose sum is σ = 34893680640. Its totient is φ = 11357573760.

The previous prime is 20432004011. The next prime is 20432004037. The reversal of 20432004021 is 12040023402.

20432004021 is a `hidden beast` number, since 20 + 43 + 200 + 402 + 1 = 666.

It is not a de Polignac number, because 20432004021 - 221 = 20429906869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20432003985 and 20432004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432004011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151500 + ... + 252618.

It is an arithmetic number, because the mean of its divisors is an integer number (726951680).

Almost surely, 220432004021 is an apocalyptic number.

It is an amenable number.

20432004021 is a deficient number, since it is larger than the sum of its proper divisors (14461676619).

20432004021 is a wasteful number, since it uses less digits than its factorization.

20432004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101306 (or 101303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20432004021 its reverse (12040023402), we get a palindrome (32472027423).

The spelling of 20432004021 in words is "twenty billion, four hundred thirty-two million, four thousand, twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 157 429 471 1287 1413 1727 2041 5181 6123 15543 18369 22451 67353 101119 202059 303357 910071 1112309 1314547 3336927 3943641 10010781 11830923 14460017 15875683 43380051 47627049 130140153 142881147 174632513 206383879 523897539 619151637 1571692617 1857454911 2270222669 6810668007 20432004021