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132333132132 = 2234478690119
BaseRepresentation
bin111101100111110101…
…0110101100101100100
3110122120112010122020000
41323033222311211210
54132004240212012
6140443142141300
712363224030565
oct1731752654544
9418515118200
10132333132132
115113866a903
1221792121830
13c62c37a4a6
1465952c016c
153697acbddc
hex1ecfab5964

132333132132 has 60 divisors (see below), whose sum is σ = 353305518720. Its totient is φ = 43172506224.

The previous prime is 132333132119. The next prime is 132333132199. The reversal of 132333132132 is 231231333231.

132333132132 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 331 + 321 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132333132096 and 132333132105.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4329832 + ... + 4360287.

It is an arithmetic number, because the mean of its divisors is an integer number (5888425312).

Almost surely, 2132333132132 is an apocalyptic number.

132333132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132333132132 is an abundant number, since it is smaller than the sum of its proper divisors (220972386588).

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

132333132132 is a wasteful number, since it uses less digits than its factorization.

132333132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690182 (or 8690171 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 132333132132 its reverse (231231333231), we get a palindrome (363564465363).

The spelling of 132333132132 in words is "one hundred thirty-two billion, three hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228 8690119 17380238 26070357 34760476 52140714 78211071 104281428 156422142 234633213 312844284 408435593 469266426 703899639 816871186 938532852 1225306779 1407799278 1633742372 2450613558 2815598556 3675920337 4901227116 7351840674 11027761011 14703681348 22055522022 33083283033 44111044044 66166566066 132333132132