Search a number
-
+
100121167 is a prime number
BaseRepresentation
bin1011111011110…
…11101001001111
320222101200102101
411331323221033
5201112334132
613533535531
72324005306
oct575735117
9228350371
10100121167
1151574573
12296445a7
13179869c3
14d42343d
158bca7e7
hex5f7ba4f

100121167 has 2 divisors, whose sum is σ = 100121168. Its totient is φ = 100121166.

The previous prime is 100121159. The next prime is 100121201. The reversal of 100121167 is 761121001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100121167 - 23 = 100121159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060583 + 50060584.

It is an arithmetic number, because the mean of its divisors is an integer number (50060584).

Almost surely, 2100121167 is an apocalyptic number.

100121167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121167 is an equidigital number, since it uses as much as digits as its factorization.

100121167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 100121167 is about 10006.0565159307. The cubic root of 100121167 is about 464.3462768267.

Adding to 100121167 its reverse (761121001), we get a palindrome (861242168).

The spelling of 100121167 in words is "one hundred million, one hundred twenty-one thousand, one hundred sixty-seven".