Search a number
-
+
101001918191 is a prime number
BaseRepresentation
bin101111000010000101…
…1101111011011101111
3100122200222221001121212
41132010023233123233
53123322442340231
6114222153345035
710203631065536
oct1360413573357
9318628831555
10101001918191
113991aa4a069
12176a940817b
1396a826ba45
144c6214b31d
15296219942b
hex17842ef6ef

101001918191 has 2 divisors, whose sum is σ = 101001918192. Its totient is φ = 101001918190.

The previous prime is 101001918163. The next prime is 101001918271. The reversal of 101001918191 is 191819100101.

It is a weak prime.

It is an emirp because it is prime and its reverse (191819100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001918191 - 214 = 101001901807 is a prime.

It is a super-2 number, since 2×1010019181912 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001918161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500959095 + 50500959096.

It is an arithmetic number, because the mean of its divisors is an integer number (50500959096).

Almost surely, 2101001918191 is an apocalyptic number.

101001918191 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001918191 is an equidigital number, since it uses as much as digits as its factorization.

101001918191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 32.

It can be divided in two parts, 10100 and 1918191, that added together give a palindrome (1928291).

The spelling of 101001918191 in words is "one hundred one billion, one million, nine hundred eighteen thousand, one hundred ninety-one".