Search a number
-
+
10002000131 is a prime number
BaseRepresentation
bin10010101000010101…
…00110100100000011
3221211001112020210022
421110022212210003
5130441003001011
64332253324055
7502600412144
oct112412464403
927731466708
1010002000131
114272960812
121b3179662b
13c3523a996
146ac523acb
153d81558db
hex2542a6903

10002000131 has 2 divisors, whose sum is σ = 10002000132. Its totient is φ = 10002000130.

The previous prime is 10002000119. The next prime is 10002000139. The reversal of 10002000131 is 13100020001.

It is an a-pointer prime, because the next prime (10002000139) can be obtained adding 10002000131 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10002000131 - 210 = 10001999107 is a prime.

It is a super-2 number, since 2×100020001312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000065 + 5001000066.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000066).

Almost surely, 210002000131 is an apocalyptic number.

10002000131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000131 is an equidigital number, since it uses as much as digits as its factorization.

10002000131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10002000131 its reverse (13100020001), we get a palindrome (23102020132).

The spelling of 10002000131 in words is "ten billion, two million, one hundred thirty-one", and thus it is an aban number.