Search a number
-
+
10222023024077 is a prime number
BaseRepresentation
bin1001010011000000000000…
…0011010001110111001101
31100012012211100201110220012
42110300000003101313031
52314434200343232302
633423533233003005
72103342155042504
oct224600003216715
940165740643805
1010222023024077
113291154567167
12119111a9b3465
13591c17ccb397
14274a6a06583b
1512ad71a42a52
hex94c000d1dcd

10222023024077 has 2 divisors, whose sum is σ = 10222023024078. Its totient is φ = 10222023024076.

The previous prime is 10222023023963. The next prime is 10222023024079. The reversal of 10222023024077 is 77042032022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9261242746441 + 960780277636 = 3043229^2 + 980194^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222023024077 - 236 = 10153303547341 is a prime.

It is a super-2 number, since 2×102220230240772 (a number of 27 digits) contains 22 as substring.

Together with 10222023024079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222023024079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111011512038 + 5111011512039.

It is an arithmetic number, because the mean of its divisors is an integer number (5111011512039).

Almost surely, 210222023024077 is an apocalyptic number.

It is an amenable number.

10222023024077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222023024077 is an equidigital number, since it uses as much as digits as its factorization.

10222023024077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 32.

Adding to 10222023024077 its reverse (77042032022201), we get a palindrome (87264055046278).

The spelling of 10222023024077 in words is "ten trillion, two hundred twenty-two billion, twenty-three million, twenty-four thousand, seventy-seven".