Search a number
-
+
2243242923101 is a prime number
BaseRepresentation
bin100000101001001011101…
…100101001010001011101
321221110012110022122010222
4200221023230221101131
5243223130142014401
64434310453011125
7321032436144125
oct40511354512135
97843173278128
102243242923101
11795399170164
12302909623aa5
131336c97527bb
147a805adbc85
153d5429b4c1b
hex20a4bb2945d

2243242923101 has 2 divisors, whose sum is σ = 2243242923102. Its totient is φ = 2243242923100.

The previous prime is 2243242923083. The next prime is 2243242923113. The reversal of 2243242923101 is 1013292423422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1290725482201 + 952517440900 = 1136101^2 + 975970^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2243242923101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2243242923121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121621461550 + 1121621461551.

It is an arithmetic number, because the mean of its divisors is an integer number (1121621461551).

Almost surely, 22243242923101 is an apocalyptic number.

It is an amenable number.

2243242923101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243242923101 is an equidigital number, since it uses as much as digits as its factorization.

2243242923101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2243242923101 in words is "two trillion, two hundred forty-three billion, two hundred forty-two million, nine hundred twenty-three thousand, one hundred one".