Search a number
-
+
100000000129 is a prime number
BaseRepresentation
bin101110100100001110…
…1101110100010000001
3100120010011122100102111
41131020131232202001
53114300000001004
6113534523015321
710140043655611
oct1351035564201
9316104570374
10100000000129
1139456436207
121746996a541
13957880c813
144ba9060a41
152904239a04
hex174876e881

100000000129 has 2 divisors, whose sum is σ = 100000000130. Its totient is φ = 100000000128.

The previous prime is 100000000103. The next prime is 100000000171. The reversal of 100000000129 is 921000000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88113985600 + 11886014529 = 296840^2 + 109023^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000000129 - 211 = 99999998081 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000100129) 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, 50000000064 + 50000000065.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000065).

Almost surely, 2100000000129 is an apocalyptic number.

It is an amenable number.

100000000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000000129 is an equidigital number, since it uses as much as digits as its factorization.

100000000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 100000000129 in words is "one hundred billion, one hundred twenty-nine", and thus it is an aban number.