Search a number
-
+
1122248638201 is a prime number
BaseRepresentation
bin10000010101001011001…
…110110011111011111001
310222021201102210200200211
4100111023032303323321
5121341331122410301
62215315351031121
7144036240013645
oct20251316637371
93867642720624
101122248638201
113a2a41110199
121615ba96b4a1
1381a9b2b3b52
143c46228bc25
151e2d3d45051
hex1054b3b3ef9

1122248638201 has 2 divisors, whose sum is σ = 1122248638202. Its totient is φ = 1122248638200.

The previous prime is 1122248638183. The next prime is 1122248638211. The reversal of 1122248638201 is 1028368422211.

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., 928864178176 + 193384460025 = 963776^2 + 439755^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122248638201 - 25 = 1122248638169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1122248638211) 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, 561124319100 + 561124319101.

It is an arithmetic number, because the mean of its divisors is an integer number (561124319101).

Almost surely, 21122248638201 is an apocalyptic number.

It is an amenable number.

1122248638201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122248638201 is an equidigital number, since it uses as much as digits as its factorization.

1122248638201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 1122248638201 in words is "one trillion, one hundred twenty-two billion, two hundred forty-eight million, six hundred thirty-eight thousand, two hundred one".