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123544084141 is a prime number
BaseRepresentation
bin111001100001111001…
…1010001111010101101
3102210212222222201222001
41303003303101322231
54011004241143031
6132431054252301
711632352250142
oct1630363217255
9383788881861
10123544084141
1148438461a85
121bb3a7b7091
13b85b51a48a
145d9dcdc3c9
1533311be861
hex1cc3cd1ead

123544084141 has 2 divisors, whose sum is σ = 123544084142. Its totient is φ = 123544084140.

The previous prime is 123544084067. The next prime is 123544084177. The reversal of 123544084141 is 141480445321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84358298025 + 39185786116 = 290445^2 + 197954^2 .

It is a cyclic number.

It is not a de Polignac number, because 123544084141 - 215 = 123544051373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123544084141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123544087141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61772042070 + 61772042071.

It is an arithmetic number, because the mean of its divisors is an integer number (61772042071).

Almost surely, 2123544084141 is an apocalyptic number.

It is an amenable number.

123544084141 is a deficient number, since it is larger than the sum of its proper divisors (1).

123544084141 is an equidigital number, since it uses as much as digits as its factorization.

123544084141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 123544084141 in words is "one hundred twenty-three billion, five hundred forty-four million, eighty-four thousand, one hundred forty-one".