Search a number
-
+
22222022100001 is a prime number
BaseRepresentation
bin1010000110101111101111…
…01110111100010000100001
32220200101220221001122002121
411003113313232330100201
510403041200124200001
6115132353411144241
74452326265156103
oct503276756742041
986611827048077
1022222022100001
11709834116a769
1225aa93a2a5081
13c526b2456479
1456b7a1883573
152880a482e6a1
hex1435f7bbc421

22222022100001 has 2 divisors, whose sum is σ = 22222022100002. Its totient is φ = 22222022100000.

The previous prime is 22222022099993. The next prime is 22222022100017. The reversal of 22222022100001 is 10000122022222.

It is an a-pointer prime, because the next prime (22222022100017) can be obtained adding 22222022100001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22164746123025 + 57275976976 = 4707945^2 + 239324^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222022100001 - 23 = 22222022099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (22222092100001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111011050000 + 11111011050001.

It is an arithmetic number, because the mean of its divisors is an integer number (11111011050001).

Almost surely, 222222022100001 is an apocalyptic number.

It is an amenable number.

22222022100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222022100001 is an equidigital number, since it uses as much as digits as its factorization.

22222022100001 is an evil number, because the sum of its binary digits is even.

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

Adding to 22222022100001 its reverse (10000122022222), we get a palindrome (32222144122223).

The spelling of 22222022100001 in words is "twenty-two trillion, two hundred twenty-two billion, twenty-two million, one hundred thousand, one".