Search a number
-
+
12931000001 is a prime number
BaseRepresentation
bin11000000101011111…
…10110011011000001
31020101011221212020222
430002233312123001
5202440314000001
65535044112425
7635304454313
oct140257663301
936334855228
1012931000001
115536237767
12260a695715
1312b0cc33ba
148a95277b3
1550a37261b
hex302bf66c1

12931000001 has 2 divisors, whose sum is σ = 12931000002. Its totient is φ = 12931000000.

The previous prime is 12930999971. The next prime is 12931000013. The reversal of 12931000001 is 10000013921.

It is a happy number.

12931000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7105647025 + 5825352976 = 84295^2 + 76324^2 .

It is a cyclic number.

It is not a de Polignac number, because 12931000001 - 26 = 12930999937 is a prime.

It is a super-2 number, since 2×129310000012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12931000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6465500000 + 6465500001.

It is an arithmetic number, because the mean of its divisors is an integer number (6465500001).

Almost surely, 212931000001 is an apocalyptic number.

It is an amenable number.

12931000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12931000001 is an equidigital number, since it uses as much as digits as its factorization.

12931000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12931000001 its reverse (10000013921), we get a palindrome (22931013922).

The spelling of 12931000001 in words is "twelve billion, nine hundred thirty-one million, one", and thus it is an aban number.