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132113011002 = 23727320113061
BaseRepresentation
bin111101100001010001…
…1001001000100111010
3110122000011221022210120
41323002203021010322
54131031412323002
6140405240154110
712354612031200
oct1730243110472
9418004838716
10132113011002
1151035394615
1221730468936
13c5c58998bb
146573d81070
1536835eacbc
hex1ec28c913a

132113011002 has 96 divisors (see below), whose sum is σ = 311832218304. Its totient is φ = 37198828800.

The previous prime is 132113010971. The next prime is 132113011007. The reversal of 132113011002 is 200110311231.

It is a happy number.

132113011002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132113011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43158552 + ... + 43161612.

It is an arithmetic number, because the mean of its divisors is an integer number (3248252274).

Almost surely, 2132113011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132113011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155916109152).

132113011002 is an abundant number, since it is smaller than the sum of its proper divisors (179719207302).

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

132113011002 is a wasteful number, since it uses less digits than its factorization.

132113011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132113011002 its reverse (200110311231), we get a palindrome (332223322233).

The spelling of 132113011002 in words is "one hundred thirty-two billion, one hundred thirteen million, eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1022 1533 2011 3061 3066 3577 4022 6033 6122 7154 9183 10731 12066 14077 18366 21427 21462 28154 42231 42854 64281 84462 98539 128562 146803 149989 197078 223453 293606 295617 299978 440409 446906 449967 591234 670359 880818 899934 1027621 1340718 1564171 2055242 3082863 3128342 4692513 6155671 6165726 7193347 9385026 10949197 12311342 14386694 18467013 21580041 21898394 32847591 36934026 43089697 43160082 65695182 86179394 129269091 258538182 301627879 449363983 603255758 898727966 904883637 1348091949 1809767274 2696183898 3145547881 6291095762 9436643643 18873287286 22018835167 44037670334 66056505501 132113011002