Search a number
-
+
147000331 is a prime number
BaseRepresentation
bin10001100001100…
…00110000001011
3101020121101112201
420300300300023
5300113002311
622330421031
73433324252
oct1060606013
9336541481
10147000331
1175a83585
1241291777
13245bb75a
1415747799
15cd8a9c1
hex8c30c0b

147000331 has 2 divisors, whose sum is σ = 147000332. Its totient is φ = 147000330.

The previous prime is 147000313. The next prime is 147000437. The reversal of 147000331 is 133000741.

Together with previous prime (147000313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 147000331 - 29 = 146999819 is a prime.

It is a super-3 number, since 3×1470003313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 147000299 and 147000308.

It is not a weakly prime, because it can be changed into another prime (147090331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73500165 + 73500166.

It is an arithmetic number, because the mean of its divisors is an integer number (73500166).

Almost surely, 2147000331 is an apocalyptic number.

147000331 is a deficient number, since it is larger than the sum of its proper divisors (1).

147000331 is an equidigital number, since it uses as much as digits as its factorization.

147000331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 147000331 is about 12124.3693031844. The cubic root of 147000331 is about 527.7636049117.

The spelling of 147000331 in words is "one hundred forty-seven million, three hundred thirty-one", and thus it is an aban number.