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123043430313 = 32313417710457
BaseRepresentation
bin111001010010111110…
…1011011111110101001
3102202121002220220000200
41302211331123332221
54003443104232223
6132305251422413
711614062621036
oct1624575337651
9382532826020
10123043430313
1148200899391
121ba1abb4a09
13b7ab8968cb
145d5361638d
153302277a43
hex1ca5f5bfa9

123043430313 has 24 divisors (see below), whose sum is σ = 178356964968. Its totient is φ = 81739487232.

The previous prime is 123043430309. The next prime is 123043430353. The reversal of 123043430313 is 313034340321.

123043430313 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 4 + 343 + 0 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31290779664 + 91752650649 = 176892^2 + 302907^2 .

It is not a de Polignac number, because 123043430313 - 22 = 123043430309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123043430353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11761381 + ... + 11771837.

It is an arithmetic number, because the mean of its divisors is an integer number (7431540207).

Almost surely, 2123043430313 is an apocalyptic number.

It is an amenable number.

123043430313 is a deficient number, since it is larger than the sum of its proper divisors (55313534655).

123043430313 is a wasteful number, since it uses less digits than its factorization.

123043430313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14953 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123043430313 its reverse (313034340321), we get a palindrome (436077770634).

The spelling of 123043430313 in words is "one hundred twenty-three billion, forty-three million, four hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 313 939 2817 4177 10457 12531 31371 37593 94113 1307401 3273041 3922203 9819123 11766609 29457369 43678889 131036667 393110001 13671492257 41014476771 123043430313