Search a number
-
+
22324141240253 is a prime number
BaseRepresentation
bin1010001001101101111101…
…00000100010111110111101
32221001011111210020110021022
411010312332200202332331
510411224320124142003
6115251322514513525
74462603013430056
oct504667640427675
987034453213238
1022324141240253
117127684817246
1226066998958a5
13c5c207cc5a48
145726cc13372d
1528aa7eb12738
hex144dbe822fbd

22324141240253 has 2 divisors, whose sum is σ = 22324141240254. Its totient is φ = 22324141240252.

The previous prime is 22324141240153. The next prime is 22324141240301. The reversal of 22324141240253 is 35204214142322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22222531390084 + 101609850169 = 4714078^2 + 318763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22324141240253 is a prime.

It is a super-3 number, since 3×223241412402533 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22324141240153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11162070620126 + 11162070620127.

It is an arithmetic number, because the mean of its divisors is an integer number (11162070620127).

Almost surely, 222324141240253 is an apocalyptic number.

It is an amenable number.

22324141240253 is a deficient number, since it is larger than the sum of its proper divisors (1).

22324141240253 is an equidigital number, since it uses as much as digits as its factorization.

22324141240253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 22324141240253 its reverse (35204214142322), we get a palindrome (57528355382575).

The spelling of 22324141240253 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-one million, two hundred forty thousand, two hundred fifty-three".