Search a number
-
+
22112221221253 is a prime number
BaseRepresentation
bin1010000011100011001110…
…00101110101000110000101
32220021220111201100001201201
411001301213011311012011
510344241312113040003
6115010114133222501
74441361312123062
oct501614705650605
986256451301651
1022112221221253
117055816462379
1225915b6191a31
13c452342968b7
14566346cd3c69
152852c9e6ab1d
hex141c67175185

22112221221253 has 2 divisors, whose sum is σ = 22112221221254. Its totient is φ = 22112221221252.

The previous prime is 22112221221197. The next prime is 22112221221257. The reversal of 22112221221253 is 35212212221122.

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., 18661164500449 + 3451056720804 = 4319857^2 + 1857702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22112221221253 is a prime.

It is a super-3 number, since 3×221122212212533 (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 (22112221221257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056110610626 + 11056110610627.

It is an arithmetic number, because the mean of its divisors is an integer number (11056110610627).

Almost surely, 222112221221253 is an apocalyptic number.

It is an amenable number.

22112221221253 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112221221253 is an equidigital number, since it uses as much as digits as its factorization.

22112221221253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3840, while the sum is 28.

Adding to 22112221221253 its reverse (35212212221122), we get a palindrome (57324433442375).

The spelling of 22112221221253 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred fifty-three".