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123042504141 = 342389635849
BaseRepresentation
bin111001010010111100…
…1111001110111001101
3102202121001011211120000
41302211321321313031
54003442340113031
6132305215514513
711614052012604
oct1624571716715
9382531154500
10123042504141
1148200316557
121ba1a828a39
13b7ab63118b
145d53454a3b
1533021433e6
hex1ca5e79dcd

123042504141 has 20 divisors (see below), whose sum is σ = 183881461500. Its totient is φ = 81993871296.

The previous prime is 123042504133. The next prime is 123042504163. The reversal of 123042504141 is 141405240321.

123042504141 is a `hidden beast` number, since 1 + 230 + 425 + 0 + 4 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39740422500 + 83302081641 = 199350^2 + 288621^2 .

It is not a de Polignac number, because 123042504141 - 23 = 123042504133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042504121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124416 + ... + 511433.

It is an arithmetic number, because the mean of its divisors is an integer number (9194073075).

Almost surely, 2123042504141 is an apocalyptic number.

It is an amenable number.

123042504141 is a deficient number, since it is larger than the sum of its proper divisors (60838957359).

123042504141 is an equidigital number, since it uses as much as digits as its factorization.

123042504141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638250 (or 638241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 123042504141 its reverse (141405240321), we get a palindrome (264447744462).

The spelling of 123042504141 in words is "one hundred twenty-three billion, forty-two million, five hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 2389 7167 21501 64503 193509 635849 1907547 5722641 17167923 51503769 1519043261 4557129783 13671389349 41014168047 123042504141