Search a number
-
+
1000001010301 is a prime number
BaseRepresentation
bin11101000110101001011…
…01000111101001111101
310112121011210022202100121
432203110231013221331
5112341000224312201
62043221044054541
7132150646224346
oct16432455075175
93477153282317
101000001010301
11356109555a57
12141982394451
13733b8560657
143658662b0cd
151b02b8b59a1
hexe8d4b47a7d

1000001010301 has 2 divisors, whose sum is σ = 1000001010302. Its totient is φ = 1000001010300.

The previous prime is 1000001010287. The next prime is 1000001010313. The reversal of 1000001010301 is 1030101000001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999700022500 + 300987801 = 999850^2 + 17349^2 .

It is an emirp because it is prime and its reverse (1030101000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000001010301 - 213 = 1000001002109 is a prime.

It is a super-2 number, since 2×10000010103012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000001010361) 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, 500000505150 + 500000505151.

It is an arithmetic number, because the mean of its divisors is an integer number (500000505151).

Almost surely, 21000001010301 is an apocalyptic number.

It is an amenable number.

1000001010301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001010301 is an equidigital number, since it uses as much as digits as its factorization.

1000001010301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000001010301 its reverse (1030101000001), we get a palindrome (2030102010302).

The spelling of 1000001010301 in words is "one trillion, one million, ten thousand, three hundred one".