Search a number
-
+
12200221101941 is a prime number
BaseRepresentation
bin1011000110001001010111…
…0110000100111101110101
31121012022220101101221010122
42301202111312010331311
53044342023100230231
641540412035101325
72366302565212415
oct261422566047565
947168811357118
1012200221101941
1139840a2831184
121450599441845
136a6625773bc2
143026cb1b6645
151625509bb77b
hexb1895d84f75

12200221101941 has 2 divisors, whose sum is σ = 12200221101942. Its totient is φ = 12200221101940.

The previous prime is 12200221101877. The next prime is 12200221102009. The reversal of 12200221101941 is 14910112200221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8721809599441 + 3478411502500 = 2953271^2 + 1865050^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200221101941 - 26 = 12200221101877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200221101941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200221101641) 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, 6100110550970 + 6100110550971.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110550971).

Almost surely, 212200221101941 is an apocalyptic number.

It is an amenable number.

12200221101941 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221101941 is an equidigital number, since it uses as much as digits as its factorization.

12200221101941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12200221101941 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred one thousand, nine hundred forty-one".