Search a number
-
+
123133430013 = 31121812718713
BaseRepresentation
bin111001010101101010…
…0110000100011111101
3102202211101021100101220
41302223110300203331
54004134124230023
6132322224423553
711616234612606
oct1625324604375
9382741240356
10123133430013
114824767a500
121ba45177bb9
13b7c4418679
145d61562dad
15330a1043e3
hex1cab5308fd

123133430013 has 24 divisors (see below), whose sum is σ = 180479612544. Its totient is φ = 74618216640.

The previous prime is 123133429973. The next prime is 123133430023. The reversal of 123133430013 is 310034331321.

It is a happy number.

It is not a de Polignac number, because 123133430013 - 214 = 123133413629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133430023) 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, 6570745 + ... + 6589457.

It is an arithmetic number, because the mean of its divisors is an integer number (7519983856).

Almost surely, 2123133430013 is an apocalyptic number.

It is an amenable number.

123133430013 is a deficient number, since it is larger than the sum of its proper divisors (57346182531).

123133430013 is a wasteful number, since it uses less digits than its factorization.

123133430013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36865 (or 36854 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123133430013 its reverse (310034331321), we get a palindrome (433167761334).

The spelling of 123133430013 in words is "one hundred twenty-three billion, one hundred thirty-three million, four hundred thirty thousand, thirteen".

Divisors: 1 3 11 33 121 363 18127 18713 54381 56139 199397 205843 598191 617529 2193367 2264273 6580101 6792819 339210551 1017631653 3731316061 11193948183 41044476671 123133430013