Search a number
-
+
10004115300401 is a prime number
BaseRepresentation
bin1001000110010100001110…
…1111010010000000110001
31022102101100222220011200202
42101211003233102000301
52302401412004103101
633135454354124545
72051526205666535
oct221450357220061
938371328804622
1010004115300401
1132077a330a132
121156a45b80755
135774cb919a11
142682b78d7bc5
1512536b39136b
hex91943bd2031

10004115300401 has 2 divisors, whose sum is σ = 10004115300402. Its totient is φ = 10004115300400.

The previous prime is 10004115300383. The next prime is 10004115300437. The reversal of 10004115300401 is 10400351140001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9091280280625 + 912835019776 = 3015175^2 + 955424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10004115300401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10004115360401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002057650200 + 5002057650201.

It is an arithmetic number, because the mean of its divisors is an integer number (5002057650201).

Almost surely, 210004115300401 is an apocalyptic number.

It is an amenable number.

10004115300401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004115300401 is an equidigital number, since it uses as much as digits as its factorization.

10004115300401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10004115300401 its reverse (10400351140001), we get a palindrome (20404466440402).

The spelling of 10004115300401 in words is "ten trillion, four billion, one hundred fifteen million, three hundred thousand, four hundred one".