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301222000249 is a prime number
BaseRepresentation
bin1000110001000100011…
…10101111011001111001
31001210111200100001221121
410120202032233121321
514413400313001444
6350213544505241
730522363520312
oct4304216573171
91053450301847
10301222000249
11106824a6a165
124a46677b221
1322536056a91
141081755b609
157c7eae3084
hex46223af679

301222000249 has 2 divisors, whose sum is σ = 301222000250. Its totient is φ = 301222000248.

The previous prime is 301222000181. The next prime is 301222000333. The reversal of 301222000249 is 942000222103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243880908649 + 57341091600 = 493843^2 + 239460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301222000249 is a prime.

It is not a weakly prime, because it can be changed into another prime (301222000649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150611000124 + 150611000125.

It is an arithmetic number, because the mean of its divisors is an integer number (150611000125).

Almost surely, 2301222000249 is an apocalyptic number.

It is an amenable number.

301222000249 is a deficient number, since it is larger than the sum of its proper divisors (1).

301222000249 is an equidigital number, since it uses as much as digits as its factorization.

301222000249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 301222000249 in words is "three hundred one billion, two hundred twenty-two million, two hundred forty-nine", and thus it is an aban number.