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22124050100153 is a prime number
BaseRepresentation
bin1010000011111001010000…
…01001011010111110111001
32220100001001002110101001122
411001330220021122332321
510344440023311201103
6115015352011155025
74442260405001351
oct501745011327671
986301032411048
1022124050100153
11705a836566151
122593957745a75
13c4639ab45a21
14566b49cc9b61
1528576d688b38
hex141f2825afb9

22124050100153 has 2 divisors, whose sum is σ = 22124050100154. Its totient is φ = 22124050100152.

The previous prime is 22124050100123. The next prime is 22124050100171. The reversal of 22124050100153 is 35100105042122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13664282289529 + 8459767810624 = 3696523^2 + 2908568^2 .

It is a cyclic number.

It is not a de Polignac number, because 22124050100153 - 214 = 22124050083769 is a prime.

It is not a weakly prime, because it can be changed into another prime (22124050100123) 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, 11062025050076 + 11062025050077.

It is an arithmetic number, because the mean of its divisors is an integer number (11062025050077).

Almost surely, 222124050100153 is an apocalyptic number.

It is an amenable number.

22124050100153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22124050100153 is an equidigital number, since it uses as much as digits as its factorization.

22124050100153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 22124050100153 its reverse (35100105042122), we get a palindrome (57224155142275).

The spelling of 22124050100153 in words is "twenty-two trillion, one hundred twenty-four billion, fifty million, one hundred thousand, one hundred fifty-three".