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222013082129 is a prime number
BaseRepresentation
bin1100111011000100000…
…0101100101000010001
3210020001110210010021112
43032301000230220101
512114140322112004
6245554050503105
722016456030006
oct3166100545021
9706043703245
10222013082129
1186178662663
123703b894a95
1317c21aa1867
14aa618a98ad
155b95cd8e6e
hex33b102ca11

222013082129 has 2 divisors, whose sum is σ = 222013082130. Its totient is φ = 222013082128.

The previous prime is 222013082087. The next prime is 222013082131. The reversal of 222013082129 is 921280310222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159182646529 + 62830435600 = 398977^2 + 250660^2 .

It is a cyclic number.

It is not a de Polignac number, because 222013082129 - 232 = 217718114833 is a prime.

Together with 222013082131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222013082095 and 222013082104.

It is not a weakly prime, because it can be changed into another prime (222013082189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111006541064 + 111006541065.

It is an arithmetic number, because the mean of its divisors is an integer number (111006541065).

Almost surely, 2222013082129 is an apocalyptic number.

It is an amenable number.

222013082129 is a deficient number, since it is larger than the sum of its proper divisors (1).

222013082129 is an equidigital number, since it uses as much as digits as its factorization.

222013082129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 222013082129 in words is "two hundred twenty-two billion, thirteen million, eighty-two thousand, one hundred twenty-nine".