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21001003413 = 3133124172077
BaseRepresentation
bin10011100011110000…
…011110000110010101
32000012121002111210020
4103203300132012111
5321002224102123
613351524215353
71342265404125
oct234360360625
960177074706
1021001003413
1189a7578775
1240a123a559
131c98ba6750
141033214c85
1582da997e3
hex4e3c1e195

21001003413 has 32 divisors (see below), whose sum is σ = 31257633792. Its totient is φ = 12454732800.

The previous prime is 21001003379. The next prime is 21001003417. The reversal of 21001003413 is 31430010012.

It is not a de Polignac number, because 21001003413 - 26 = 21001003349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21001003392 and 21001003401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001003417) 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 31 ways as a sum of consecutive naturals, for example, 255331 + ... + 327407.

It is an arithmetic number, because the mean of its divisors is an integer number (976801056).

Almost surely, 221001003413 is an apocalyptic number.

It is an amenable number.

21001003413 is a deficient number, since it is larger than the sum of its proper divisors (10256630379).

21001003413 is a wasteful number, since it uses less digits than its factorization.

21001003413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72365.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21001003413 its reverse (31430010012), we get a palindrome (52431013425).

The spelling of 21001003413 in words is "twenty-one billion, one million, three thousand, four hundred thirteen".

Divisors: 1 3 13 31 39 93 241 403 723 1209 3133 7471 9399 22413 72077 97123 216231 291369 937001 2234387 2811003 6703161 17370557 29047031 52111671 87141093 225817241 538487267 677451723 1615461801 7000334471 21001003413