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22324141240153 is a prime number
BaseRepresentation
bin1010001001101101111101…
…00000100010111101011001
32221001011111210020110010121
411010312332200202331121
510411224320124141103
6115251322514513241
74462603013426554
oct504667640427531
987034453213117
1022324141240153
117127684817165
122606699895821
13c5c207cc599c
145726cc13369b
1528aa7eb126bd
hex144dbe822f59

22324141240153 has 2 divisors, whose sum is σ = 22324141240154. Its totient is φ = 22324141240152.

The previous prime is 22324141240129. The next prime is 22324141240253. The reversal of 22324141240153 is 35104214142322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12069211001929 + 10254930238224 = 3474077^2 + 3202332^2 .

It is a cyclic number.

It is not a de Polignac number, because 22324141240153 - 213 = 22324141231961 is a prime.

It is a super-3 number, since 3×223241412401533 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22324141240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11162070620076 + 11162070620077.

It is an arithmetic number, because the mean of its divisors is an integer number (11162070620077).

Almost surely, 222324141240153 is an apocalyptic number.

It is an amenable number.

22324141240153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22324141240153 is an equidigital number, since it uses as much as digits as its factorization.

22324141240153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 22324141240153 its reverse (35104214142322), we get a palindrome (57428355382475).

The spelling of 22324141240153 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-one million, two hundred forty thousand, one hundred fifty-three".