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300001102221013 is a prime number
BaseRepresentation
bin100010000110110010111001…
…1001000010100111011010101
31110100012211021121222012211121
41010031211303020110323111
5303310204224132033023
62542014334224403541
7120122235660263314
oct10415456310247325
91410184247865747
10300001102221013
1187653831211486
12297922821765b1
13cb51ca08826bb
1454121b8d9227b
1524a3ab54d2d5d
hex110d973214ed5

300001102221013 has 2 divisors, whose sum is σ = 300001102221014. Its totient is φ = 300001102221012.

The previous prime is 300001102220987. The next prime is 300001102221043. The reversal of 300001102221013 is 310122201100003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238385478629169 + 61615623591844 = 15439737^2 + 7849562^2 .

It is a cyclic number.

It is not a de Polignac number, because 300001102221013 - 237 = 299863663267541 is a prime.

It is a super-2 number, since 2×3000011022210132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300001102221043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150000551110506 + 150000551110507.

It is an arithmetic number, because the mean of its divisors is an integer number (150000551110507).

Almost surely, 2300001102221013 is an apocalyptic number.

It is an amenable number.

300001102221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300001102221013 is an equidigital number, since it uses as much as digits as its factorization.

300001102221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 300001102221013 its reverse (310122201100003), we get a palindrome (610123303321016).

The spelling of 300001102221013 in words is "three hundred trillion, one billion, one hundred two million, two hundred twenty-one thousand, thirteen".