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1100221013 is a prime number
BaseRepresentation
bin100000110010100…
…0000101001010101
32211200021000111102
41001211000221111
54223124033023
6301101315445
736156503303
oct10145005125
92750230442
101100221013
11515056371
12268565b85
13146c2a468
14a6199273
15668cb628
hex41940a55

1100221013 has 2 divisors, whose sum is σ = 1100221014. Its totient is φ = 1100221012.

The previous prime is 1100220991. The next prime is 1100221063. The reversal of 1100221013 is 3101220011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 683979409 + 416241604 = 26153^2 + 20402^2 .

It is an emirp because it is prime and its reverse (3101220011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100221013 - 212 = 1100216917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100220985 and 1100221003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100221063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550110506 + 550110507.

It is an arithmetic number, because the mean of its divisors is an integer number (550110507).

Almost surely, 21100221013 is an apocalyptic number.

It is an amenable number.

1100221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100221013 is an equidigital number, since it uses as much as digits as its factorization.

1100221013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1100221013 is about 33169.5796325489. The cubic root of 1100221013 is about 1032.3492463797.

Adding to 1100221013 its reverse (3101220011), we get a palindrome (4201441024).

The spelling of 1100221013 in words is "one billion, one hundred million, two hundred twenty-one thousand, thirteen".