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123288624341 is a prime number
BaseRepresentation
bin111001011010010010…
…0110001110011010101
3102210020012022000222222
41302310210301303111
54004443341434331
6132345451032125
711623131005321
oct1626444616325
9383205260888
10123288624341
114831723a283
121ba8913b645
13b81a61592c
145d78000981
153318a5cb7b
hex1cb4931cd5

123288624341 has 2 divisors, whose sum is σ = 123288624342. Its totient is φ = 123288624340.

The previous prime is 123288624301. The next prime is 123288624377. The reversal of 123288624341 is 143426882321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91856880241 + 31431744100 = 303079^2 + 177290^2 .

It is a cyclic number.

It is not a de Polignac number, because 123288624341 - 210 = 123288623317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123288624292 and 123288624301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123288624301) 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, 61644312170 + 61644312171.

It is an arithmetic number, because the mean of its divisors is an integer number (61644312171).

Almost surely, 2123288624341 is an apocalyptic number.

It is an amenable number.

123288624341 is a deficient number, since it is larger than the sum of its proper divisors (1).

123288624341 is an equidigital number, since it uses as much as digits as its factorization.

123288624341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 442368, while the sum is 44.

The spelling of 123288624341 in words is "one hundred twenty-three billion, two hundred eighty-eight million, six hundred twenty-four thousand, three hundred forty-one".