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300100223309 is a prime number
BaseRepresentation
bin1000101110111110101…
…11100000000101001101
31001200121111111220021112
410113133113200011031
514404101124121214
6345510353141405
730452522544515
oct4273727400515
91050544456245
10300100223309
111062a9830587
124a1b2b5a865
13223b781cc43
141074c590845
157c163a9a3e
hex45df5e014d

300100223309 has 2 divisors, whose sum is σ = 300100223310. Its totient is φ = 300100223308.

The previous prime is 300100223273. The next prime is 300100223333. The reversal of 300100223309 is 903322001003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221649815209 + 78450408100 = 470797^2 + 280090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-300100223309 is a prime.

It is a super-2 number, since 2×3001002233092 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300100523309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150050111654 + 150050111655.

It is an arithmetic number, because the mean of its divisors is an integer number (150050111655).

Almost surely, 2300100223309 is an apocalyptic number.

It is an amenable number.

300100223309 is a deficient number, since it is larger than the sum of its proper divisors (1).

300100223309 is an equidigital number, since it uses as much as digits as its factorization.

300100223309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

The spelling of 300100223309 in words is "three hundred billion, one hundred million, two hundred twenty-three thousand, three hundred nine".