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22151211104153 is a prime number
BaseRepresentation
bin1010000100101011110110…
…00100011011011110011001
32220102122010222200100001202
411002111323010123132121
510400411140020313103
6115040043105523545
74444241442505055
oct502257304333631
986378128610052
1022151211104153
11707030420749a
1225990779435b5
13c48b08ca9021
145681a527cc65
1528630ce23988
hex14257b11b799

22151211104153 has 2 divisors, whose sum is σ = 22151211104154. Its totient is φ = 22151211104152.

The previous prime is 22151211104137. The next prime is 22151211104207. The reversal of 22151211104153 is 35140111215122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14918968050064 + 7232243054089 = 3862508^2 + 2689283^2 .

It is a cyclic number.

It is not a de Polignac number, because 22151211104153 - 24 = 22151211104137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22151211100153) 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, 11075605552076 + 11075605552077.

It is an arithmetic number, because the mean of its divisors is an integer number (11075605552077).

Almost surely, 222151211104153 is an apocalyptic number.

It is an amenable number.

22151211104153 is a deficient number, since it is larger than the sum of its proper divisors (1).

22151211104153 is an equidigital number, since it uses as much as digits as its factorization.

22151211104153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 22151211104153 its reverse (35140111215122), we get a palindrome (57291322319275).

The spelling of 22151211104153 in words is "twenty-two trillion, one hundred fifty-one billion, two hundred eleven million, one hundred four thousand, one hundred fifty-three".