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2221011013 = 1331010929
BaseRepresentation
bin1000010001100001…
…1111000001000101
312201210020001100011
42010120133001011
514022034323023
61004215550221
7106016165524
oct20430370105
95653201304
102221011013
11a3a7804a1
1251b98b371
132951aa000
14170d8a4bb
15ceebc50d
hex8461f045

2221011013 has 8 divisors (see below), whose sum is σ = 2406013400. Its totient is φ = 2050161984.

The previous prime is 2221011007. The next prime is 2221011029. The reversal of 2221011013 is 3101101222.

It can be written as a sum of positive squares in 4 ways, for example, as 573219364 + 1647791649 = 23942^2 + 40593^2 .

It is not a de Polignac number, because 2221011013 - 221 = 2218913861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221010984 and 2221011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221011043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503268 + ... + 507661.

It is an arithmetic number, because the mean of its divisors is an integer number (300751675).

Almost surely, 22221011013 is an apocalyptic number.

It is an amenable number.

2221011013 is a deficient number, since it is larger than the sum of its proper divisors (185002387).

2221011013 is an equidigital number, since it uses as much as digits as its factorization.

2221011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010968 (or 1010942 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2221011013 is about 47127.6035142887. The cubic root of 2221011013 is about 1304.7187511129.

Adding to 2221011013 its reverse (3101101222), we get a palindrome (5322112235).

The spelling of 2221011013 in words is "two billion, two hundred twenty-one million, eleven thousand, thirteen".

Divisors: 1 13 169 2197 1010929 13142077 170847001 2221011013