Search a number
-
+
167381101 is a prime number
BaseRepresentation
bin10011111101000…
…00100001101101
3102122221211201001
421332200201231
5320322143401
624335320301
74101500356
oct1176404155
9378854631
10167381101
1186533998
1248080091
13288a6294
1418330d2d
15ea64601
hex9fa086d

167381101 has 2 divisors, whose sum is σ = 167381102. Its totient is φ = 167381100.

The previous prime is 167381083. The next prime is 167381111. The reversal of 167381101 is 101183761.

167381101 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 can be written as a sum of positive squares in only one way, i.e., 164737225 + 2643876 = 12835^2 + 1626^2 .

It is a cyclic number.

It is not a de Polignac number, because 167381101 - 27 = 167380973 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 167381101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (167381111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83690550 + 83690551.

It is an arithmetic number, because the mean of its divisors is an integer number (83690551).

Almost surely, 2167381101 is an apocalyptic number.

It is an amenable number.

167381101 is a deficient number, since it is larger than the sum of its proper divisors (1).

167381101 is an equidigital number, since it uses as much as digits as its factorization.

167381101 is an evil number, because the sum of its binary digits is even.

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

The square root of 167381101 is about 12937.5848209780. The cubic root of 167381101 is about 551.1064239762.

The spelling of 167381101 in words is "one hundred sixty-seven million, three hundred eighty-one thousand, one hundred one".