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11000313221101 is a prime number
BaseRepresentation
bin1010000000010011010111…
…0000110000111111101101
31102221121201202000221212221
42200010311300300333231
52420212120141033401
635221250224555341
72213514005416351
oct240046560607755
942847652027787
1011000313221101
113561230043626
121297b26782b51
1361a42c2a0899
142a05bcdcb461
15141223e2a7a1
hexa0135c30fed

11000313221101 has 2 divisors, whose sum is σ = 11000313221102. Its totient is φ = 11000313221100.

The previous prime is 11000313221077. The next prime is 11000313221123. The reversal of 11000313221101 is 10112231300011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9967589808201 + 1032723412900 = 3157149^2 + 1016230^2 .

It is an emirp because it is prime and its reverse (10112231300011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11000313221101 is a prime.

It is a super-2 number, since 2×110003132211012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000313228101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500156610550 + 5500156610551.

It is an arithmetic number, because the mean of its divisors is an integer number (5500156610551).

Almost surely, 211000313221101 is an apocalyptic number.

It is an amenable number.

11000313221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000313221101 is an equidigital number, since it uses as much as digits as its factorization.

11000313221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11000313221101 its reverse (10112231300011), we get a palindrome (21112544521112).

The spelling of 11000313221101 in words is "eleven trillion, three hundred thirteen million, two hundred twenty-one thousand, one hundred one".