Search a number
-
+
12313011012149 is a prime number
BaseRepresentation
bin1011001100101101100010…
…1001011100001000110101
31121121010000220112000211102
42303023120221130020311
53103214021304342044
642104304050215445
72410404614506031
oct263133051341065
947533026460742
1012313011012149
113a17a11798101
12146a416584585
136b415bc77643
14307d4ab151c1
151654529a924e
hexb32d8a5c235

12313011012149 has 2 divisors, whose sum is σ = 12313011012150. Its totient is φ = 12313011012148.

The previous prime is 12313011012109. The next prime is 12313011012163. The reversal of 12313011012149 is 94121011031321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9914595075025 + 2398415937124 = 3148745^2 + 1548682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313011012149 is a prime.

It is a super-2 number, since 2×123130110121492 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313011012109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156505506074 + 6156505506075.

It is an arithmetic number, because the mean of its divisors is an integer number (6156505506075).

Almost surely, 212313011012149 is an apocalyptic number.

It is an amenable number.

12313011012149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313011012149 is an equidigital number, since it uses as much as digits as its factorization.

12313011012149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 12313011012149 in words is "twelve trillion, three hundred thirteen billion, eleven million, twelve thousand, one hundred forty-nine".