Search a number
-
+
11000022210101 is a prime number
BaseRepresentation
bin1010000000010010010001…
…1010101001011000110101
31102221120222110110001211202
42200010210122221120311
52420211021141210401
635221201311342245
72213503543025651
oct240044432513065
942846873401752
1011000022210101
1135610a0849771
121297a65221985
1361a3b3bcc422
142a05924b7a61
151412085e506b
hexa01246a9635

11000022210101 has 2 divisors, whose sum is σ = 11000022210102. Its totient is φ = 11000022210100.

The previous prime is 11000022209971. The next prime is 11000022210139. The reversal of 11000022210101 is 10101222000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9039938209201 + 1960084000900 = 3006649^2 + 1400030^2 .

It is an emirp because it is prime and its reverse (10101222000011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000022210101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000052210101) 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 as a sum of consecutive naturals, namely, 5500011105050 + 5500011105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5500011105051).

Almost surely, 211000022210101 is an apocalyptic number.

It is an amenable number.

11000022210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000022210101 is an equidigital number, since it uses as much as digits as its factorization.

11000022210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000022210101 its reverse (10101222000011), we get a palindrome (21101244210112).

The spelling of 11000022210101 in words is "eleven trillion, twenty-two million, two hundred ten thousand, one hundred one".