Search a number
-
+
3000100012201 is a prime number
BaseRepresentation
bin101011101010000011111…
…001010100000010101001
3101121210210010110102101201
4223222003321110002221
5343123201100342301
610214121003044201
7426515163226615
oct53520371240251
911553703412351
103000100012201
11a57376276396
12405533510661
13189ba6479116
14a52c42cc345
155308d3ec201
hex2ba83e540a9

3000100012201 has 2 divisors, whose sum is σ = 3000100012202. Its totient is φ = 3000100012200.

The previous prime is 3000100012099. The next prime is 3000100012213. The reversal of 3000100012201 is 1022100010003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2915607475225 + 84492536976 = 1707515^2 + 290676^2 .

It is an emirp because it is prime and its reverse (1022100010003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3000100012201 - 215 = 3000099979433 is a prime.

It is not a weakly prime, because it can be changed into another prime (3000100012601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500050006100 + 1500050006101.

It is an arithmetic number, because the mean of its divisors is an integer number (1500050006101).

Almost surely, 23000100012201 is an apocalyptic number.

It is an amenable number.

3000100012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000100012201 is an equidigital number, since it uses as much as digits as its factorization.

3000100012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 3000100012201 its reverse (1022100010003), we get a palindrome (4022200022204).

The spelling of 3000100012201 in words is "three trillion, one hundred million, twelve thousand, two hundred one".