Search a number
-
+
221311200113 = 1753245628413
BaseRepresentation
bin1100111000011100101…
…1001110101101110001
3210011020120001211011022
43032013023032231301
512111221131400423
6245400255025225
721663204106523
oct3160713165561
9704216054138
10221311200113
1185948448283
1236a8480b215
1317b3c553963
14a9d65a1a13
155b54393dc8
hex33872ceb71

221311200113 has 8 divisors (see below), whose sum is σ = 238750818408. Its totient is φ = 204362838784.

The previous prime is 221311200107. The next prime is 221311200127. The reversal of 221311200113 is 311002113122.

It can be written as a sum of positive squares in 4 ways, for example, as 117339132304 + 103972067809 = 342548^2 + 322447^2 .

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 221311200113 - 214 = 221311183729 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 = 221311200091 and 221311200100.

It is not an unprimeable number, because it can be changed into a prime (221311230113) 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, 122813306 + ... + 122815107.

It is an arithmetic number, because the mean of its divisors is an integer number (29843852301).

Almost surely, 2221311200113 is an apocalyptic number.

It is an amenable number.

221311200113 is a deficient number, since it is larger than the sum of its proper divisors (17439618295).

221311200113 is a wasteful number, since it uses less digits than its factorization.

221311200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245628483.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221311200113 its reverse (311002113122), we get a palindrome (532313313235).

The spelling of 221311200113 in words is "two hundred twenty-one billion, three hundred eleven million, two hundred thousand, one hundred thirteen".

Divisors: 1 17 53 901 245628413 4175683021 13018305889 221311200113