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300031020011141 is a prime number
BaseRepresentation
bin100010000111000000110101…
…0010111101000111010000101
31110100022200111122120102110122
41010032001222113220322011
5303311202012110324031
62542040203042431325
7120124345241303246
oct10416015227507205
91410280448512418
10300031020011141
1187665494004a71
1229798031662545
13cb54a5abc25b3
14541381651accd
1524a4766cbd47b
hex110e06a5e8e85

300031020011141 has 2 divisors, whose sum is σ = 300031020011142. Its totient is φ = 300031020011140.

The previous prime is 300031020011123. The next prime is 300031020011159. The reversal of 300031020011141 is 141110020130003.

It is a balanced prime because it is at equal distance from previous prime (300031020011123) and next prime (300031020011159).

It can be written as a sum of positive squares in only one way, i.e., 270285765736900 + 29745254274241 = 16440370^2 + 5453921^2 .

It is a cyclic number.

It is not a de Polignac number, because 300031020011141 - 218 = 300031019748997 is a prime.

It is a super-2 number, since 2×3000310200111412 (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 (300031020011101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150015510005570 + 150015510005571.

It is an arithmetic number, because the mean of its divisors is an integer number (150015510005571).

Almost surely, 2300031020011141 is an apocalyptic number.

It is an amenable number.

300031020011141 is a deficient number, since it is larger than the sum of its proper divisors (1).

300031020011141 is an equidigital number, since it uses as much as digits as its factorization.

300031020011141 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 17.

Adding to 300031020011141 its reverse (141110020130003), we get a palindrome (441141040141144).

The spelling of 300031020011141 in words is "three hundred trillion, thirty-one billion, twenty million, eleven thousand, one hundred forty-one".