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21202402312441 = 723372153596369
BaseRepresentation
bin1001101001000100100011…
…01010001000000011111001
32210001221002212112201210001
410310202101222020003321
510234340004442444231
6113032125452353001
74315552203032200
oct464422152100371
983057085481701
1021202402312441
1168349853a6009
122465201775761
13baa4bb4b6a9c
145342b7848237
1526b7ca902b61
hex134891a880f9

21202402312441 has 24 divisors (see below), whose sum is σ = 24748737160680. Its totient is φ = 18111114104832.

The previous prime is 21202402312433. The next prime is 21202402312499. The reversal of 21202402312441 is 14421320420212.

It can be written as a sum of positive squares in 4 ways, for example, as 1123220552041 + 20079181760400 = 1059821^2 + 4480980^2 .

It is not a de Polignac number, because 21202402312441 - 23 = 21202402312433 is a prime.

It is a super-4 number, since 4×212024023124414 (a number of 54 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21202402312411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35254305 + ... + 35850673.

It is an arithmetic number, because the mean of its divisors is an integer number (1031197381695).

Almost surely, 221202402312441 is an apocalyptic number.

It is an amenable number.

21202402312441 is a deficient number, since it is larger than the sum of its proper divisors (3546334848239).

21202402312441 is a wasteful number, since it uses less digits than its factorization.

21202402312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598873 (or 598866 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21202402312441 its reverse (14421320420212), we get a palindrome (35623722732653).

The spelling of 21202402312441 in words is "twenty-one trillion, two hundred two billion, four hundred two million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 7 49 337 2153 2359 15071 16513 105497 596369 725561 4174583 5078927 29222081 35552489 200976353 1283982457 1406834471 8987877199 9847841297 62915140393 432702088009 3028914616063 21202402312441