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22210102202129 is a prime number
BaseRepresentation
bin1010000110011001100010…
…10000001000111100010001
32220122021011012200002012122
411003030301100020330101
510402342242130432004
6115123102522304025
74451425015542212
oct503146120107421
986567135602178
1022210102202129
117093284749aa6
1225a8572358015
13c51532a8966a
1456ad90757409
15287b08132cbe
hex143331408f11

22210102202129 has 2 divisors, whose sum is σ = 22210102202130. Its totient is φ = 22210102202128.

The previous prime is 22210102202111. The next prime is 22210102202137. The reversal of 22210102202129 is 92120220101222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21537702202129 + 672400000000 = 4640873^2 + 820000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22210102202129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22210102202098 and 22210102202107.

It is not a weakly prime, because it can be changed into another prime (22210102202929) 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, 11105051101064 + 11105051101065.

It is an arithmetic number, because the mean of its divisors is an integer number (11105051101065).

Almost surely, 222210102202129 is an apocalyptic number.

It is an amenable number.

22210102202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210102202129 is an equidigital number, since it uses as much as digits as its factorization.

22210102202129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 22210102202129 in words is "twenty-two trillion, two hundred ten billion, one hundred two million, two hundred two thousand, one hundred twenty-nine".