Search a number
-
+
167000107 is a prime number
BaseRepresentation
bin10011111010000…
…11100000101011
3102122020111002011
421331003200223
5320223000412
624323220351
74065322531
oct1175034053
9378214064
10167000107
11862a371a
1247b176b7
13287a1a41
1418272151
15e9db7a7
hex9f4382b

167000107 has 2 divisors, whose sum is σ = 167000108. Its totient is φ = 167000106.

The previous prime is 167000087. The next prime is 167000117. The reversal of 167000107 is 701000761.

167000107 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-167000107 is a prime.

It is a super-2 number, since 2×1670001072 = 55778071476022898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (167000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83500053 + 83500054.

It is an arithmetic number, because the mean of its divisors is an integer number (83500054).

Almost surely, 2167000107 is an apocalyptic number.

167000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

167000107 is an equidigital number, since it uses as much as digits as its factorization.

167000107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 167000107 is about 12922.8521232737. The cubic root of 167000107 is about 550.6879622507.

Adding to 167000107 its reverse (701000761), we get a palindrome (868000868).

The spelling of 167000107 in words is "one hundred sixty-seven million, one hundred seven", and thus it is an aban number.