Search a number
-
+
300001312131299 is a prime number
BaseRepresentation
bin100010000110110010111111…
…1101001000100100011100011
31110100012211211020221202121122
41010031211333221010203203
5303310210141401200144
62542014411123442455
7120122244116424542
oct10415457751044343
91410184736852548
10300001312131299
1187653929753159
122979232052642b
13cb520051c977c
1454121d8bd4159
1524a3ac8b487ee
hex110d97fa448e3

300001312131299 has 2 divisors, whose sum is σ = 300001312131300. Its totient is φ = 300001312131298.

The previous prime is 300001312131293. The next prime is 300001312131337. The reversal of 300001312131299 is 992131213100003.

It is a weak prime.

It is an emirp because it is prime and its reverse (992131213100003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300001312131299 - 220 = 300001311082723 is a prime.

It is a super-4 number, since 4×3000013121312994 (a number of 59 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (300001312131293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150000656065649 + 150000656065650.

It is an arithmetic number, because the mean of its divisors is an integer number (150000656065650).

Almost surely, 2300001312131299 is an apocalyptic number.

300001312131299 is a deficient number, since it is larger than the sum of its proper divisors (1).

300001312131299 is an equidigital number, since it uses as much as digits as its factorization.

300001312131299 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 300001312131299 in words is "three hundred trillion, one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred ninety-nine".