Search a number
-
+
22002210121601 is a prime number
BaseRepresentation
bin1010000000010110010011…
…11010110010011110000001
32212220101112212001011111102
411000023021322302132001
510340441011242342401
6114443401545424145
74430415164163113
oct500131172623601
985811485034442
1022002210121601
1170130a30209a6
12257421379b055
13c37a516b1768
14560cac4613b3
152824dbdce56b
hex1402c9eb2781

22002210121601 has 2 divisors, whose sum is σ = 22002210121602. Its totient is φ = 22002210121600.

The previous prime is 22002210121597. The next prime is 22002210121637. The reversal of 22002210121601 is 10612101220022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15547256886001 + 6454953235600 = 3943001^2 + 2540660^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002210121601 - 22 = 22002210121597 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002210121691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001105060800 + 11001105060801.

It is an arithmetic number, because the mean of its divisors is an integer number (11001105060801).

Almost surely, 222002210121601 is an apocalyptic number.

It is an amenable number.

22002210121601 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002210121601 is an equidigital number, since it uses as much as digits as its factorization.

22002210121601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22002210121601 its reverse (10612101220022), we get a palindrome (32614311341623).

The spelling of 22002210121601 in words is "twenty-two trillion, two billion, two hundred ten million, one hundred twenty-one thousand, six hundred one".