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22202202201001 is a prime number
BaseRepresentation
bin1010000110001010110100…
…11000000001101110101001
32220121111202122102102222021
411003011122120001232221
510402230102230413001
6115115314554024441
74451025160621024
oct503053230015651
986544678372867
1022202202201001
11708a9a0372249
1225a6b28718121
13c50874189694
1456a8414801bb
152877e47dbba1
hex14315a601ba9

22202202201001 has 2 divisors, whose sum is σ = 22202202201002. Its totient is φ = 22202202201000.

The previous prime is 22202202200977. The next prime is 22202202201079. The reversal of 22202202201001 is 10010220220222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20806734873600 + 1395467327401 = 4561440^2 + 1181299^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202202201001 - 213 = 22202202192809 is a prime.

It is not a weakly prime, because it can be changed into another prime (22202202801001) 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, 11101101100500 + 11101101100501.

It is an arithmetic number, because the mean of its divisors is an integer number (11101101100501).

Almost surely, 222202202201001 is an apocalyptic number.

It is an amenable number.

22202202201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202202201001 is an equidigital number, since it uses as much as digits as its factorization.

22202202201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22202202201001 its reverse (10010220220222), we get a palindrome (32212422421223).

The spelling of 22202202201001 in words is "twenty-two trillion, two hundred two billion, two hundred two million, two hundred one thousand, one".