Search a number
-
+
12181655250157 is a prime number
BaseRepresentation
bin1011000101000100001100…
…1110111110010011101101
31121010112222111110221101111
42301101003032332103231
53044041012221001112
641524101500312021
72365044526114561
oct261210316762355
947115874427344
1012181655250157
1139772358a4a18
121448a77842611
136a4957242ba3
143018495716a1
15161d15add5a7
hexb14433be4ed

12181655250157 has 2 divisors, whose sum is σ = 12181655250158. Its totient is φ = 12181655250156.

The previous prime is 12181655250151. The next prime is 12181655250301. The reversal of 12181655250157 is 75105255618121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7603001081316 + 4578654168841 = 2757354^2 + 2139779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12181655250157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12181655250157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12181655250151) 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, 6090827625078 + 6090827625079.

It is an arithmetic number, because the mean of its divisors is an integer number (6090827625079).

Almost surely, 212181655250157 is an apocalyptic number.

It is an amenable number.

12181655250157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12181655250157 is an equidigital number, since it uses as much as digits as its factorization.

12181655250157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 49.

The spelling of 12181655250157 in words is "twelve trillion, one hundred eighty-one billion, six hundred fifty-five million, two hundred fifty thousand, one hundred fifty-seven".