Search a number
-
+
131332523512005 = 32525761111329099
BaseRepresentation
bin11101110111001000111100…
…011010010101000011000101
3122020000021012101002100001200
4131313020330122111003011
5114203223002004341010
61143153154533213113
736443314235524644
oct3567107432250305
9566007171070050
10131332523512005
11389348a0766362
1212891158491199
1358387b07b698a
142460756da335b
15102b3d8919cc0
hex77723c6950c5

131332523512005 has 24 divisors (see below), whose sum is σ = 227643944517600. Its totient is φ = 70043734458720.

The previous prime is 131332523511977. The next prime is 131332523512009. The reversal of 131332523512005 is 500215325233131.

131332523512005 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 2 + 523 + 5 + 120 + 0 + 5 = 666.

It is not a de Polignac number, because 131332523512005 - 26 = 131332523511941 is a prime.

It is a super-2 number, since 2×1313325235120052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131332523512009) 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, 5927946 + ... + 17257044.

It is an arithmetic number, because the mean of its divisors is an integer number (9485164354900).

Almost surely, 2131332523512005 is an apocalyptic number.

131332523512005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131332523512005 is a deficient number, since it is larger than the sum of its proper divisors (96311421005595).

131332523512005 is a wasteful number, since it uses less digits than its factorization.

131332523512005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586721 (or 11586718 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 131332523512005 its reverse (500215325233131), we get a palindrome (631547848745136).

The spelling of 131332523512005 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, five hundred twenty-three million, five hundred twelve thousand, five".

Divisors: 1 3 5 9 15 45 257611 772833 1288055 2318499 3864165 11329099 11592495 33987297 56645495 101961891 169936485 509809455 2918500522489 8755501567467 14592502612445 26266504702401 43777507837335 131332523512005