Search a number
-
+
22124041521313 is a prime number
BaseRepresentation
bin1010000011111001001111…
…01000101100100010100001
32220100001000111022112002211
411001330213220230202201
510344440014112140223
6115015351103242121
74442260242041224
oct501744750544241
986301014275084
1022124041521313
11705a8317367a6
1225939548a9341
13c46399130ca4
14566b48ad55bb
1528576ca41d0d
hex141f27a2c8a1

22124041521313 has 2 divisors, whose sum is σ = 22124041521314. Its totient is φ = 22124041521312.

The previous prime is 22124041521311. The next prime is 22124041521359. The reversal of 22124041521313 is 31312514042122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20294871830289 + 1829169691024 = 4504983^2 + 1352468^2 .

It is a cyclic number.

It is not a de Polignac number, because 22124041521313 - 21 = 22124041521311 is a prime.

Together with 22124041521311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22124041521311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11062020760656 + 11062020760657.

It is an arithmetic number, because the mean of its divisors is an integer number (11062020760657).

Almost surely, 222124041521313 is an apocalyptic number.

It is an amenable number.

22124041521313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22124041521313 is an equidigital number, since it uses as much as digits as its factorization.

22124041521313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 22124041521313 its reverse (31312514042122), we get a palindrome (53436555563435).

The spelling of 22124041521313 in words is "twenty-two trillion, one hundred twenty-four billion, forty-one million, five hundred twenty-one thousand, three hundred thirteen".