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222003000101 is a prime number
BaseRepresentation
bin1100111011000001101…
…0001111001100100101
3210020000202210220100002
43032300122033030211
512114130232000401
6245553050431045
722016304236231
oct3166032171445
9706022726302
10222003000101
11861729a6903
1237038432485
1317c1c98186c
14aa604035c1
155b94e96a6b
hex33b068f325

222003000101 has 2 divisors, whose sum is σ = 222003000102. Its totient is φ = 222003000100.

The previous prime is 222003000083. The next prime is 222003000137. The reversal of 222003000101 is 101000300222.

It is a happy number.

222003000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158403204001 + 63599796100 = 397999^2 + 252190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222003000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222003000181) 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, 111001500050 + 111001500051.

It is an arithmetic number, because the mean of its divisors is an integer number (111001500051).

Almost surely, 2222003000101 is an apocalyptic number.

It is an amenable number.

222003000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222003000101 is an equidigital number, since it uses as much as digits as its factorization.

222003000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 222003000101 its reverse (101000300222), we get a palindrome (323003300323).

The spelling of 222003000101 in words is "two hundred twenty-two billion, three million, one hundred one", and thus it is an aban number.