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300021022001 is a prime number
BaseRepresentation
bin1000101110110101010…
…01010111110100110001
31001200101222111001111202
410113122221113310301
514403420340201001
6345454443420545
730450541416101
oct4273251276461
91050358431452
10300021022001
11106269055458
124a190524755
13223a42ac26c
1410741c55201
157c0e46296b
hex45daa57d31

300021022001 has 2 divisors, whose sum is σ = 300021022002. Its totient is φ = 300021022000.

The previous prime is 300021021983. The next prime is 300021022013. The reversal of 300021022001 is 100220120003.

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., 185072900401 + 114948121600 = 430201^2 + 339040^2 .

It is a cyclic number.

It is not a de Polignac number, because 300021022001 - 226 = 299953913137 is a prime.

It is a super-2 number, since 2×3000210220012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (300021022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150010511000 + 150010511001.

It is an arithmetic number, because the mean of its divisors is an integer number (150010511001).

Almost surely, 2300021022001 is an apocalyptic number.

It is an amenable number.

300021022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

300021022001 is an equidigital number, since it uses as much as digits as its factorization.

300021022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 300021022001 its reverse (100220120003), we get a palindrome (400241142004).

The spelling of 300021022001 in words is "three hundred billion, twenty-one million, twenty-two thousand, one".