Search a number
-
+
147112129 is a prime number
BaseRepresentation
bin10001100010011…
…00000011000001
3101020211001220101
420301030003001
5300130042004
622333042401
73434301223
oct1061140301
9336731811
10147112129
117604a57a
1241326401
132462a5c8
1415776413
15cdadba4
hex8c4c0c1

147112129 has 2 divisors, whose sum is σ = 147112130. Its totient is φ = 147112128.

The previous prime is 147112123. The next prime is 147112139. The reversal of 147112129 is 921211741.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 25230529 = 11040^2 + 5023^2 .

It is an emirp because it is prime and its reverse (921211741) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-147112129 is a prime.

It is a Chen prime.

It is equal to p8291053 and since 147112129 and 8291053 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 147112097 and 147112106.

It is not a weakly prime, because it can be changed into another prime (147112123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73556064 + 73556065.

It is an arithmetic number, because the mean of its divisors is an integer number (73556065).

Almost surely, 2147112129 is an apocalyptic number.

It is an amenable number.

147112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

147112129 is an equidigital number, since it uses as much as digits as its factorization.

147112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 28.

The square root of 147112129 is about 12128.9788935425. The cubic root of 147112129 is about 527.8973641661.

The spelling of 147112129 in words is "one hundred forty-seven million, one hundred twelve thousand, one hundred twenty-nine".