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222002132129 is a prime number
BaseRepresentation
bin1100111011000001011…
…0111011010010100001
3210020000201011210200222
43032300112323102201
512114130021212004
6245553020052425
722016263662551
oct3166026732241
9706021153628
10222002132129
1186172463778
1237038094115
1317c1c73977b
14aa60259161
155b94d747be
hex33b05bb4a1

222002132129 has 2 divisors, whose sum is σ = 222002132130. Its totient is φ = 222002132128.

The previous prime is 222002132113. The next prime is 222002132141. The reversal of 222002132129 is 921231200222.

222002132129 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., 162692835904 + 59309296225 = 403352^2 + 243535^2 .

It is a cyclic number.

It is not a de Polignac number, because 222002132129 - 24 = 222002132113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222002132098 and 222002132107.

It is not a weakly prime, because it can be changed into another prime (222002132189) 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, 111001066064 + 111001066065.

It is an arithmetic number, because the mean of its divisors is an integer number (111001066065).

Almost surely, 2222002132129 is an apocalyptic number.

It is an amenable number.

222002132129 is a deficient number, since it is larger than the sum of its proper divisors (1).

222002132129 is an equidigital number, since it uses as much as digits as its factorization.

222002132129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 222002132129 in words is "two hundred twenty-two billion, two million, one hundred thirty-two thousand, one hundred twenty-nine".