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123444321029 is a prime number
BaseRepresentation
bin111001011110111011…
…0101101101100000101
3102210122001021020200222
41302331312231230011
54010303221233104
6132413132114125
711630031262451
oct1627566555405
9383561236628
10123444321029
1148397112527
121bb11305945
13b84395a753
145d9096d661
1533275651be
hex1cbddadb05

123444321029 has 2 divisors, whose sum is σ = 123444321030. Its totient is φ = 123444321028.

The previous prime is 123444320983. The next prime is 123444321031. The reversal of 123444321029 is 920123444321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98003433025 + 25440888004 = 313055^2 + 159502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123444321029 is a prime.

Together with 123444321031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123444321029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123444321079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61722160514 + 61722160515.

It is an arithmetic number, because the mean of its divisors is an integer number (61722160515).

Almost surely, 2123444321029 is an apocalyptic number.

It is an amenable number.

123444321029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123444321029 is an equidigital number, since it uses as much as digits as its factorization.

123444321029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 123444321029 in words is "one hundred twenty-three billion, four hundred forty-four million, three hundred twenty-one thousand, twenty-nine".