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123012555541 is a prime number
BaseRepresentation
bin111001010010000011…
…1101010001100010101
3102202111221211021210121
41302210013222030111
54003412203234131
6132302225551541
711613236320111
oct1624407521425
9382457737717
10123012555541
1148195420747
121ba107a55b1
13b7a5376705
145d4d49a741
1532ee6c9911
hex1ca41ea315

123012555541 has 2 divisors, whose sum is σ = 123012555542. Its totient is φ = 123012555540.

The previous prime is 123012555539. The next prime is 123012555559. The reversal of 123012555541 is 145555210321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118510816516 + 4501739025 = 344254^2 + 67095^2 .

It is a cyclic number.

It is not a de Polignac number, because 123012555541 - 21 = 123012555539 is a prime.

It is a super-3 number, since 3×1230125555413 (a number of 34 digits) contains 333 as substring.

Together with 123012555539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 123012555497 and 123012555506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123012555521) 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, 61506277770 + 61506277771.

It is an arithmetic number, because the mean of its divisors is an integer number (61506277771).

Almost surely, 2123012555541 is an apocalyptic number.

It is an amenable number.

123012555541 is a deficient number, since it is larger than the sum of its proper divisors (1).

123012555541 is an equidigital number, since it uses as much as digits as its factorization.

123012555541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 123012555541 its reverse (145555210321), we get a palindrome (268567765862).

The spelling of 123012555541 in words is "one hundred twenty-three billion, twelve million, five hundred fifty-five thousand, five hundred forty-one".