Search a number
-
+
22010010100097 is a prime number
BaseRepresentation
bin1010000000100100110101…
…10101010110000110000001
32212221010200110002010110212
411000102122311112012001
510341103000041200342
6114451131542203505
74431112365666155
oct500223265260601
985833613063425
1022010010100097
1170164359a1218
12257582ba23595
13c386c5660856
1456140c33d065
152827e6a69182
hex14049ad56181

22010010100097 has 2 divisors, whose sum is σ = 22010010100098. Its totient is φ = 22010010100096.

The previous prime is 22010010100093. The next prime is 22010010100147. The reversal of 22010010100097 is 79000101001022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21072910594576 + 937099505521 = 4590524^2 + 968039^2 .

It is a cyclic number.

It is not a de Polignac number, because 22010010100097 - 22 = 22010010100093 is a prime.

It is not a weakly prime, because it can be changed into another prime (22010010100093) 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, 11005005050048 + 11005005050049.

It is an arithmetic number, because the mean of its divisors is an integer number (11005005050049).

Almost surely, 222010010100097 is an apocalyptic number.

It is an amenable number.

22010010100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

22010010100097 is an equidigital number, since it uses as much as digits as its factorization.

22010010100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 22010010100097 in words is "twenty-two trillion, ten billion, ten million, one hundred thousand, ninety-seven".