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300212000212013 is a prime number
BaseRepresentation
bin100010001000010101000110…
…1101000010100010000101101
31110100221222122110202012112022
41010100222031220110100231
5303322133134023241023
62542255253340315525
7120143413141522661
oct10420521550242055
91410858573665468
10300212000212013
118772521567760a
122980711b542ba5
13cb68b40931156
14541c4a458c8a1
1524a930a5967c8
hex1110a8da1442d

300212000212013 has 2 divisors, whose sum is σ = 300212000212014. Its totient is φ = 300212000212012.

The previous prime is 300212000211967. The next prime is 300212000212057. The reversal of 300212000212013 is 310212000212003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220511154745924 + 79700845466089 = 14849618^2 + 8927533^2 .

It is an emirp because it is prime and its reverse (310212000212003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 300212000212013 - 210 = 300212000210989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 300212000211982 and 300212000212000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300212000212613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150106000106006 + 150106000106007.

It is an arithmetic number, because the mean of its divisors is an integer number (150106000106007).

Almost surely, 2300212000212013 is an apocalyptic number.

It is an amenable number.

300212000212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300212000212013 is an equidigital number, since it uses as much as digits as its factorization.

300212000212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 300212000212013 its reverse (310212000212003), we get a palindrome (610424000424016).

The spelling of 300212000212013 in words is "three hundred trillion, two hundred twelve billion, two hundred twelve thousand, thirteen".