Search a number
-
+
11220100093 is a prime number
BaseRepresentation
bin10100111001100010…
…10010001111111101
31001221221121010210201
422130301102033331
5140434321200333
65053205403501
7545021164036
oct123461221775
931857533721
1011220100093
1148384aa2a4
122211709591
13109a6cb7a7
14786205a8d
1545a06917d
hex29cc523fd

11220100093 has 2 divisors, whose sum is σ = 11220100094. Its totient is φ = 11220100092.

The previous prime is 11220100091. The next prime is 11220100121. The reversal of 11220100093 is 39000102211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9224065764 + 1996034329 = 96042^2 + 44677^2 .

It is a cyclic number.

It is not a de Polignac number, because 11220100093 - 21 = 11220100091 is a prime.

Together with 11220100091, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 11220100093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11220100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610050046 + 5610050047.

It is an arithmetic number, because the mean of its divisors is an integer number (5610050047).

Almost surely, 211220100093 is an apocalyptic number.

It is an amenable number.

11220100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

11220100093 is an equidigital number, since it uses as much as digits as its factorization.

11220100093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The spelling of 11220100093 in words is "eleven billion, two hundred twenty million, one hundred thousand, ninety-three".