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2223222322129 is a prime number
BaseRepresentation
bin100000010110100010011…
…000000111001111010001
321212112112012000201200021
4200112202120013033101
5242411124403302004
64421200110023441
7316423343636104
oct40264230071721
97775465021607
102223222322129
11787955050346
122baa607a7b81
13131858a14053
1479866bb273b
153cc70029d54
hex205a26073d1

2223222322129 has 2 divisors, whose sum is σ = 2223222322130. Its totient is φ = 2223222322128.

The previous prime is 2223222322121. The next prime is 2223222322147. The reversal of 2223222322129 is 9212232223222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2030810254225 + 192412067904 = 1425065^2 + 438648^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223222322129 - 23 = 2223222322121 is a prime.

It is a super-2 number, since 2×22232223221292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2223222322094 and 2223222322103.

It is not a weakly prime, because it can be changed into another prime (2223222322121) 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, 1111611161064 + 1111611161065.

It is an arithmetic number, because the mean of its divisors is an integer number (1111611161065).

Almost surely, 22223222322129 is an apocalyptic number.

It is an amenable number.

2223222322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223222322129 is an equidigital number, since it uses as much as digits as its factorization.

2223222322129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 34.

The spelling of 2223222322129 in words is "two trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twenty-nine".