Search a number
-
+
22001101200097 is a prime number
BaseRepresentation
bin1010000000010100001111…
…10100100101101011100001
32212220021200120102010011121
411000022013310211223201
510340431223401400342
6114443055533412241
74430345540411605
oct500120764455341
985807616363147
1022001101200097
117012684072848
122573b6433a081
13c37905a290a6
14560c0507d505
15282474885067
hex140287d25ae1

22001101200097 has 2 divisors, whose sum is σ = 22001101200098. Its totient is φ = 22001101200096.

The previous prime is 22001101199999. The next prime is 22001101200101. The reversal of 22001101200097 is 79000210110022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21967603415521 + 33497784576 = 4686961^2 + 183024^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001101200097 - 27 = 22001101199969 is a prime.

It is not a weakly prime, because it can be changed into another prime (22001101210097) 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, 11000550600048 + 11000550600049.

It is an arithmetic number, because the mean of its divisors is an integer number (11000550600049).

Almost surely, 222001101200097 is an apocalyptic number.

It is an amenable number.

22001101200097 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001101200097 is an equidigital number, since it uses as much as digits as its factorization.

22001101200097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 22001101200097 in words is "twenty-two trillion, one billion, one hundred one million, two hundred thousand, ninety-seven".