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300223300037 is a prime number
BaseRepresentation
bin1000101111001101011…
…01000000000111000101
31001200221002002211210212
410113212231000013011
514404324131100122
6345530511125205
730455545642013
oct4274655000705
91050832084725
10300223300037
11106362253991
124a228213805
13224071833cb
1410760a6b8b3
157c220bbce2
hex45e6b401c5

300223300037 has 2 divisors, whose sum is σ = 300223300038. Its totient is φ = 300223300036.

The previous prime is 300223300009. The next prime is 300223300049. The reversal of 300223300037 is 730003322003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163564433761 + 136658866276 = 404431^2 + 369674^2 .

It is an emirp because it is prime and its reverse (730003322003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300223300037 - 214 = 300223283653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300223299985 and 300223300021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300223300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150111650018 + 150111650019.

It is an arithmetic number, because the mean of its divisors is an integer number (150111650019).

Almost surely, 2300223300037 is an apocalyptic number.

It is an amenable number.

300223300037 is a deficient number, since it is larger than the sum of its proper divisors (1).

300223300037 is an equidigital number, since it uses as much as digits as its factorization.

300223300037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 23.

The spelling of 300223300037 in words is "three hundred billion, two hundred twenty-three million, three hundred thousand, thirty-seven".