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130131012123 = 32717450726959
BaseRepresentation
bin111100100110001101…
…0011010101000011011
3110102220001110100110200
41321030122122220123
54113002014341443
6135440435113243
712254524231620
oct1711432325033
9412801410420
10130131012123
1150208622512
1221278742823
13c36b085bb8
146426a50347
1535b95e1dd3
hex1e4c69aa1b

130131012123 has 48 divisors (see below), whose sum is σ = 227514792960. Its totient is φ = 69968302848.

The previous prime is 130131012083. The next prime is 130131012127. The reversal of 130131012123 is 321210131031.

It is not a de Polignac number, because 130131012123 - 29 = 130131011611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130131012096 and 130131012105.

It is not an unprimeable number, because it can be changed into a prime (130131012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4813518 + ... + 4840476.

It is an arithmetic number, because the mean of its divisors is an integer number (4739891520).

Almost surely, 2130131012123 is an apocalyptic number.

130131012123 is a deficient number, since it is larger than the sum of its proper divisors (97383780837).

130131012123 is a wasteful number, since it uses less digits than its factorization.

130131012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31496 (or 31493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130131012123 its reverse (321210131031), we get a palindrome (451341143154).

The spelling of 130131012123 in words is "one hundred thirty billion, one hundred thirty-one million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 4507 13521 26959 31549 40563 76619 80877 94647 188713 229857 242631 283941 458303 536333 566139 689571 1374909 1608999 1698417 3208121 4124727 4826997 9624363 28873089 121504213 364512639 850529491 1093537917 2065571621 2551588473 6196714863 7654765419 14459001347 18590144589 43377004041 130131012123