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221000137 is a prime number
BaseRepresentation
bin11010010110000…
…11000111001001
3120101211222012021
431023003013021
5423034001022
633532444441
75322320161
oct1513030711
9511758167
10221000137
11103826746
1262019721
1336a2aa17
14214cb5a1
15146067c7
hexd2c31c9

221000137 has 2 divisors, whose sum is σ = 221000138. Its totient is φ = 221000136.

The previous prime is 221000107. The next prime is 221000141. The reversal of 221000137 is 731000122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210366016 + 10634121 = 14504^2 + 3261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221000137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221000137.

It is not a weakly prime, because it can be changed into another prime (221000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500068 + 110500069.

It is an arithmetic number, because the mean of its divisors is an integer number (110500069).

Almost surely, 2221000137 is an apocalyptic number.

It is an amenable number.

221000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000137 is an equidigital number, since it uses as much as digits as its factorization.

221000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 221000137 is about 14866.0733551264. The cubic root of 221000137 is about 604.5944845325.

Adding to 221000137 its reverse (731000122), we get a palindrome (952000259).

The spelling of 221000137 in words is "two hundred twenty-one million, one hundred thirty-seven", and thus it is an aban number.