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21112000013 = 132613320369
BaseRepresentation
bin10011101010010111…
…111000111000001101
32000111022221201111102
4103222113320320031
5321214133000023
613410531232445
71345114016306
oct235227707015
960438851442
1021112000013
118a541a00a5
124112448725
131cb5b9a600
141043c697ad
158386c2628
hex4ea5f8e0d

21112000013 has 12 divisors (see below), whose sum is σ = 22865773140. Its totient is φ = 19483865856.

The previous prime is 21111999947. The next prime is 21112000097. The reversal of 21112000013 is 31000021112.

It can be written as a sum of positive squares in 6 ways, for example, as 9498724 + 21102501289 = 3082^2 + 145267^2 .

It is not a de Polignac number, because 21112000013 - 28 = 21111999757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21111999958 and 21112000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112000313) 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 11 ways as a sum of consecutive naturals, for example, 1026293 + ... + 1046661.

It is an arithmetic number, because the mean of its divisors is an integer number (1905481095).

Almost surely, 221112000013 is an apocalyptic number.

It is an amenable number.

21112000013 is a deficient number, since it is larger than the sum of its proper divisors (1753773127).

21112000013 is a wasteful number, since it uses less digits than its factorization.

21112000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26528 (or 26515 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21112000013 its reverse (31000021112), we get a palindrome (52112021125).

The spelling of 21112000013 in words is "twenty-one billion, one hundred twelve million, thirteen", and thus it is an aban number.

Divisors: 1 13 169 6133 20369 79729 264797 1036477 3442361 124923077 1624000001 21112000013