Search a number
-
+
130013130023 = 7193747562129
BaseRepresentation
bin111100100010101100…
…0101110110100100111
3110102120211122022121222
41321011120232310213
54112231330130043
6135421024330555
712251563241210
oct1710530566447
9412524568558
10130013130023
1150158027997
1221245173a5b
13c34c820c8a
146415126407
1535ae0a8d68
hex1e4562ed27

130013130023 has 32 divisors (see below), whose sum is σ = 164052019200. Its totient is φ = 100535468544.

The previous prime is 130013130011. The next prime is 130013130103. The reversal of 130013130023 is 320031310031.

It is not a de Polignac number, because 130013130023 - 28 = 130013129767 is a prime.

It is a super-4 number, since 4×1300131300234 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130013129983 and 130013130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013138023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49778 + ... + 512351.

It is an arithmetic number, because the mean of its divisors is an integer number (5126625600).

Almost surely, 2130013130023 is an apocalyptic number.

130013130023 is a deficient number, since it is larger than the sum of its proper divisors (34038889177).

130013130023 is a wasteful number, since it uses less digits than its factorization.

130013130023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562239.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130013130023 its reverse (320031310031), we get a palindrome (450044440054).

The spelling of 130013130023 in words is "one hundred thirty billion, thirteen million, one hundred thirty thousand, twenty-three".

Divisors: 1 7 19 37 47 133 259 329 703 893 1739 4921 6251 12173 33041 231287 562129 3934903 10680451 20798773 26420063 74763157 145591411 184940441 395176687 501981197 977542331 2766236809 3513868379 6842796317 18573304289 130013130023