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21212032013 = 177317092693
BaseRepresentation
bin10011110000010101…
…011110110000001101
32000202022011212121022
4103300111132300031
5321420240011023
613424503243525
71350440203634
oct236025366015
960668155538
1021212032013
118aa5703677
12413ba495a5
132000822843
14105326851b
158423817c8
hex4f055ec0d

21212032013 has 8 divisors (see below), whose sum is σ = 22767468408. Its totient is φ = 19690781184.

The previous prime is 21212031977. The next prime is 21212032021. The reversal of 21212032013 is 31023021212.

It can be written as a sum of positive squares in 4 ways, for example, as 6541250884 + 14670781129 = 80878^2 + 121123^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21212032013 - 26 = 21212031949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21212031982 and 21212032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212032043) 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 7 ways as a sum of consecutive naturals, for example, 8545106 + ... + 8547587.

It is an arithmetic number, because the mean of its divisors is an integer number (2845933551).

Almost surely, 221212032013 is an apocalyptic number.

It is an amenable number.

21212032013 is a deficient number, since it is larger than the sum of its proper divisors (1555436395).

21212032013 is a wasteful number, since it uses less digits than its factorization.

21212032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092783.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21212032013 its reverse (31023021212), we get a palindrome (52235053225).

The spelling of 21212032013 in words is "twenty-one billion, two hundred twelve million, thirty-two thousand, thirteen".

Divisors: 1 17 73 1241 17092693 290575781 1247766589 21212032013