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214005226129 is a prime number
BaseRepresentation
bin1100011101001110110…
…1001001101010010001
3202110101101120212222021
43013103231021222101
512001240314214004
6242151310411441
721314151260032
oct3072355115221
9673341525867
10214005226129
1182839409952
1235585b00b81
1317246a3aa26
14a502158a89
155877c8ad54
hex31d3b49a91

214005226129 has 2 divisors, whose sum is σ = 214005226130. Its totient is φ = 214005226128.

The previous prime is 214005226117. The next prime is 214005226133. The reversal of 214005226129 is 921622500412.

It is a happy number.

214005226129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206720262225 + 7284963904 = 454665^2 + 85352^2 .

It is a cyclic number.

It is not a de Polignac number, because 214005226129 - 29 = 214005225617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214005226094 and 214005226103.

It is not a weakly prime, because it can be changed into another prime (214005226109) 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, 107002613064 + 107002613065.

It is an arithmetic number, because the mean of its divisors is an integer number (107002613065).

Almost surely, 2214005226129 is an apocalyptic number.

It is an amenable number.

214005226129 is a deficient number, since it is larger than the sum of its proper divisors (1).

214005226129 is an equidigital number, since it uses as much as digits as its factorization.

214005226129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 214005226129 in words is "two hundred fourteen billion, five million, two hundred twenty-six thousand, one hundred twenty-nine".