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112220123129 is a prime number
BaseRepresentation
bin110100010000011010…
…1110010111111111001
3101201122210221220202122
41220200311302333321
53314311322420004
6123315254411025
711051630210432
oct1504065627771
9351583856678
10112220123129
1143657374514
12198ba360a75
13a775455a2a
145607dbc489
152dbbe8bcbe
hex1a20d72ff9

112220123129 has 2 divisors, whose sum is σ = 112220123130. Its totient is φ = 112220123128.

The previous prime is 112220123107. The next prime is 112220123131. The reversal of 112220123129 is 921321022211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87306657529 + 24913465600 = 295477^2 + 157840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112220123129 is a prime.

Together with 112220123131, 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 = 112220123098 and 112220123107.

It is not a weakly prime, because it can be changed into another prime (112220123179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56110061564 + 56110061565.

It is an arithmetic number, because the mean of its divisors is an integer number (56110061565).

Almost surely, 2112220123129 is an apocalyptic number.

It is an amenable number.

112220123129 is a deficient number, since it is larger than the sum of its proper divisors (1).

112220123129 is an equidigital number, since it uses as much as digits as its factorization.

112220123129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 112220123129 in words is "one hundred twelve billion, two hundred twenty million, one hundred twenty-three thousand, one hundred twenty-nine".