Search a number
-
+
123330130012131 = 3721025981779947
BaseRepresentation
bin11100000010101100001000…
…100101101110011111100011
3121011200020121210220112121220
4130002230020211232133203
5112131120101240342011
61114145025104150123
734656210410223600
oct3402541045563743
9534606553815556
10123330130012131
113632a018200259
12119ba257008343
1353a7c9b071703
1422652d28b76a7
15e3d1767b4506
hex702b0896e7e3

123330130012131 has 24 divisors (see below), whose sum is σ = 191306196757440. Its totient is φ = 70467489629712.

The previous prime is 123330130012097. The next prime is 123330130012147. The reversal of 123330130012131 is 131210031033321.

It is not a de Polignac number, because 123330130012131 - 29 = 123330130011619 is a prime.

It is a super-2 number, since 2×1233301300121312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123330130012231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39381901 + ... + 42398046.

It is an arithmetic number, because the mean of its divisors is an integer number (7971091531560).

Almost surely, 2123330130012131 is an apocalyptic number.

123330130012131 is a deficient number, since it is larger than the sum of its proper divisors (67976066745309).

123330130012131 is a wasteful number, since it uses less digits than its factorization.

123330130012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81790223 (or 81790216 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123330130012131 its reverse (131210031033321), we get a palindrome (254540161045452).

The spelling of 123330130012131 in words is "one hundred twenty-three trillion, three hundred thirty billion, one hundred thirty million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 10259 30777 71813 215439 502691 1508073 81779947 245339841 572459629 1717378887 4007217403 12021652209 838980476273 2516941428819 5872863333911 17618590001733 41110043337377 123330130012131