Search a number
-
+
22021112120093 is a prime number
BaseRepresentation
bin1010000000111001100001…
…00100001100001100011101
32212222012100011111011211122
411000130300210030030131
510341243214200320333
6114500205333100325
74431654454416332
oct500346044141435
985865304434748
1022021112120093
117020112780159
122577a09a876a5
13c39774758258
14561b829a8989
15282c4655b798
hex14073090c31d

22021112120093 has 2 divisors, whose sum is σ = 22021112120094. Its totient is φ = 22021112120092.

The previous prime is 22021112120057. The next prime is 22021112120129. The reversal of 22021112120093 is 39002121112022.

It is a balanced prime because it is at equal distance from previous prime (22021112120057) and next prime (22021112120129).

It can be written as a sum of positive squares in only one way, i.e., 16004776356409 + 6016335763684 = 4000597^2 + 2452822^2 .

It is a cyclic number.

It is not a de Polignac number, because 22021112120093 - 218 = 22021111857949 is a prime.

It is a super-3 number, since 3×220211121200933 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22021112120393) 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, 11010556060046 + 11010556060047.

It is an arithmetic number, because the mean of its divisors is an integer number (11010556060047).

Almost surely, 222021112120093 is an apocalyptic number.

It is an amenable number.

22021112120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021112120093 is an equidigital number, since it uses as much as digits as its factorization.

22021112120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 22021112120093 in words is "twenty-two trillion, twenty-one billion, one hundred twelve million, one hundred twenty thousand, ninety-three".