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13340000202021 = 3210115793474317
BaseRepresentation
bin1100001000011111010111…
…1110010010110100100101
31202020021212112212100122100
43002013311332102310211
53222030310022431041
644212151140522313
72544532432545603
oct302076576226445
952207775770570
1013340000202021
11428350a382899
1215b546b0b0399
13759c5890a4cc
14341933788873
1518200d86c6b6
hexc21f5f92d25

13340000202021 has 24 divisors (see below), whose sum is σ = 19583617415544. Its totient is φ = 8749195977600.

The previous prime is 13340000201999. The next prime is 13340000202059. The reversal of 13340000202021 is 12020200004331.

It can be written as a sum of positive squares in 4 ways, for example, as 5679499248900 + 7660500953121 = 2383170^2 + 2767761^2 .

It is not a de Polignac number, because 13340000202021 - 25 = 13340000201989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13340000201985 and 13340000202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340000202071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46594446 + ... + 46879871.

It is an arithmetic number, because the mean of its divisors is an integer number (815984058981).

Almost surely, 213340000202021 is an apocalyptic number.

It is an amenable number.

13340000202021 is a deficient number, since it is larger than the sum of its proper divisors (6243617213523).

13340000202021 is a wasteful number, since it uses less digits than its factorization.

13340000202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93474581 (or 93474578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13340000202021 its reverse (12020200004331), we get a palindrome (25360200206352).

The spelling of 13340000202021 in words is "thirteen trillion, three hundred forty billion, two hundred two thousand, twenty-one".

Divisors: 1 3 9 101 157 303 471 909 1413 15857 47571 142713 93474317 280422951 841268853 9440906017 14675467769 28322718051 44026403307 84968154153 132079209921 1482222244669 4446666734007 13340000202021