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222003000137 is a prime number
BaseRepresentation
bin1100111011000001101…
…0001111001101001001
3210020000202210220101102
43032300122033031021
512114130232001022
6245553050431145
722016304236312
oct3166032171511
9706022726342
10222003000137
11861729a6936
12370384324b5
1317c1c981899
14aa60403609
155b94e96a92
hex33b068f349

222003000137 has 2 divisors, whose sum is σ = 222003000138. Its totient is φ = 222003000136.

The previous prime is 222003000101. The next prime is 222003000157. The reversal of 222003000137 is 731000300222.

222003000137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (222003000157) can be obtained adding 222003000137 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132469793296 + 89533206841 = 363964^2 + 299221^2 .

It is a cyclic number.

It is not a de Polignac number, because 222003000137 - 214 = 222002983753 is a prime.

It is not a weakly prime, because it can be changed into another prime (222003000157) 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, 111001500068 + 111001500069.

It is an arithmetic number, because the mean of its divisors is an integer number (111001500069).

Almost surely, 2222003000137 is an apocalyptic number.

It is an amenable number.

222003000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

222003000137 is an equidigital number, since it uses as much as digits as its factorization.

222003000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

Adding to 222003000137 its reverse (731000300222), we get a palindrome (953003300359).

The spelling of 222003000137 in words is "two hundred twenty-two billion, three million, one hundred thirty-seven", and thus it is an aban number.