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123545509949 is a prime number
BaseRepresentation
bin111001100001111100…
…0101110000000111101
3102210220002200011210202
41303003320232000331
54011010122304244
6132431145013245
711632400336051
oct1630370560075
9383802604722
10123545509949
1148439246234
121bb3b184225
13b85b8c9454
145da018dc61
1533313a204e
hex1cc3e2e03d

123545509949 has 2 divisors, whose sum is σ = 123545509950. Its totient is φ = 123545509948.

The previous prime is 123545509943. The next prime is 123545509987. The reversal of 123545509949 is 949905545321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109531212025 + 14014297924 = 330955^2 + 118382^2 .

It is a cyclic number.

It is not a de Polignac number, because 123545509949 - 228 = 123277074493 is a prime.

It is a super-3 number, since 3×1235455099493 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123545509894 and 123545509903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123545509943) 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, 61772754974 + 61772754975.

It is an arithmetic number, because the mean of its divisors is an integer number (61772754975).

Almost surely, 2123545509949 is an apocalyptic number.

It is an amenable number.

123545509949 is a deficient number, since it is larger than the sum of its proper divisors (1).

123545509949 is an equidigital number, since it uses as much as digits as its factorization.

123545509949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748000, while the sum is 56.

The spelling of 123545509949 in words is "one hundred twenty-three billion, five hundred forty-five million, five hundred nine thousand, nine hundred forty-nine".