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132012330212 = 227241110914813
BaseRepresentation
bin111101011110010001…
…1000100110011100100
3110121202011111012201102
41322330203010303210
54130330124031322
6140351242215232
712352250202200
oct1727443046344
9417664435642
10132012330212
1150a93578654
12217027b4518
13c5aaa78279
146564853b00
15367985e792
hex1ebc8c4ce4

132012330212 has 72 divisors (see below), whose sum is σ = 275560843320. Its totient is φ = 55143298560.

The previous prime is 132012330211. The next prime is 132012330283. The reversal of 132012330212 is 212033210231.

It can be written as a sum of positive squares in 4 ways, for example, as 13246628836 + 118765701376 = 115094^2 + 344624^2 .

It is not an unprimeable number, because it can be changed into a prime (132012330211) 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 23 ways as a sum of consecutive naturals, for example, 8904518 + ... + 8919330.

It is an arithmetic number, because the mean of its divisors is an integer number (3827233935).

Almost surely, 2132012330212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132012330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137780421660).

132012330212 is an abundant number, since it is smaller than the sum of its proper divisors (143548513108).

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

132012330212 is a wasteful number, since it uses less digits than its factorization.

132012330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132012330212 its reverse (212033210231), we get a palindrome (344045540443).

The spelling of 132012330212 in words is "one hundred thirty-two billion, twelve million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1109 1148 2009 2218 4018 4436 7763 8036 14813 15526 29626 31052 45469 54341 59252 90938 103691 108682 181876 207382 217364 318283 414764 607333 636566 725837 1214666 1273132 1451674 2227981 2429332 2903348 4251331 4455962 8502662 8911924 16427617 17005324 29759317 32855234 59518634 65710468 114993319 119037268 229986638 459973276 673532297 804953233 1347064594 1609906466 2694129188 3219812932 4714726079 9429452158 18858904316 33003082553 66006165106 132012330212