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13002023123 = 538312892293
BaseRepresentation
bin11000001101111101…
…10010000011010011
31020120010121012122222
430012332302003103
5203112004214443
65550102251255
7640126241645
oct140676620323
936503535588
1013002023123
115572337461
12262a426b2b
1312c292c80b
148b4b34895
15511701468
hex306fb20d3

13002023123 has 16 divisors (see below), whose sum is σ = 13423203360. Its totient is φ = 12587737344.

The previous prime is 13002023101. The next prime is 13002023129. The reversal of 13002023123 is 32132020031.

13002023123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13002023123 - 216 = 13001957587 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13002023129) 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 in 15 ways as a sum of consecutive naturals, for example, 5669165 + ... + 5671457.

It is an arithmetic number, because the mean of its divisors is an integer number (838950210).

Almost surely, 213002023123 is an apocalyptic number.

13002023123 is a deficient number, since it is larger than the sum of its proper divisors (421180237).

13002023123 is a wasteful number, since it uses less digits than its factorization.

13002023123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13002023123 its reverse (32132020031), we get a palindrome (45134043154).

The spelling of 13002023123 in words is "thirteen billion, two million, twenty-three thousand, one hundred twenty-three".

Divisors: 1 53 83 1289 2293 4399 68317 106987 121529 190319 2955677 5670311 10086907 156650881 245321191 13002023123