Search a number
-
+
13130210104024 = 231329372933131283
BaseRepresentation
bin1011111100010001110110…
…0000100101001011011000
31201111020100220210011102211
42333010131200211023120
53210111132241312044
643531534003004504
72523424563255046
oct277043540451330
951436326704384
1013130210104024
114202544333112
121580880969734
13743234244250
14335711383396
1517b830b9d634
hexbf11d8252d8

13130210104024 has 256 divisors, whose sum is σ = 28376978313600. Its totient is φ = 5651025149952.

The previous prime is 13130210104019. The next prime is 13130210104027. The reversal of 13130210104024 is 42040101203131.

It is a junction number, because it is equal to n+sod(n) for n = 13130210103986 and 13130210104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130210104027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10233990087 + ... + 10233991369.

Almost surely, 213130210104024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130210104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14188489156800).

13130210104024 is an abundant number, since it is smaller than the sum of its proper divisors (15246768209576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130210104024 is a wasteful number, since it uses less digits than its factorization.

13130210104024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13130210104024 its reverse (42040101203131), we get a palindrome (55170311307155).

The spelling of 13130210104024 in words is "thirteen trillion, one hundred thirty billion, two hundred ten million, one hundred four thousand, twenty-four".