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2012013167 is a prime number
BaseRepresentation
bin111011111101100…
…1110001001101111
312012012221212012012
41313323032021233
513110033410132
6531352231435
7100600554413
oct16773161157
95165855165
102012013167
119428022aa
1248199b57b
13260ac2348
14151304d43
15bb9870b2
hex77ece26f

2012013167 has 2 divisors, whose sum is σ = 2012013168. Its totient is φ = 2012013166.

The previous prime is 2012013137. The next prime is 2012013169. The reversal of 2012013167 is 7613102102.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2012013167 is a prime.

Together with 2012013169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012013169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006006583 + 1006006584.

It is an arithmetic number, because the mean of its divisors is an integer number (1006006584).

Almost surely, 22012013167 is an apocalyptic number.

2012013167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012013167 is an equidigital number, since it uses as much as digits as its factorization.

2012013167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2012013167 is about 44855.4697556496. The cubic root of 2012013167 is about 1262.4386229287.

Adding to 2012013167 its reverse (7613102102), we get a palindrome (9625115269).

The spelling of 2012013167 in words is "two billion, twelve million, thirteen thousand, one hundred sixty-seven".