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132243334212 = 223117122976143
BaseRepresentation
bin111101100101001010…
…0010010010001000100
3110122100021011102122010
41323022110102101010
54131313243143322
6140430213334220
712361053536223
oct1731224222104
9418307142563
10132243334212
11510a1a07350
1221768037370
13c616899522
1465873c6cba
15368ec9020c
hex1eca512444

132243334212 has 96 divisors (see below), whose sum is σ = 341564719104. Its totient is φ = 39485689600.

The previous prime is 132243334207. The next prime is 132243334213. The reversal of 132243334212 is 212433342231.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132243334212.

It is not an unprimeable number, because it can be changed into a prime (132243334213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21524413 + ... + 21530555.

It is an arithmetic number, because the mean of its divisors is an integer number (3557965824).

Almost surely, 2132243334212 is an apocalyptic number.

132243334212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132243334212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170782359552).

132243334212 is an abundant number, since it is smaller than the sum of its proper divisors (209321384892).

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

132243334212 is a wasteful number, since it uses less digits than its factorization.

132243334212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8527 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 132243334212 its reverse (212433342231), we get a palindrome (344676676443).

The spelling of 132243334212 in words is "one hundred thirty-two billion, two hundred forty-three million, three hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2297 2343 3124 4594 4686 6143 6891 9188 9372 12286 13782 18429 24572 25267 27564 36858 50534 67573 73716 75801 101068 135146 151602 163087 202719 270292 303204 326174 405438 436153 489261 652348 810876 872306 978522 1308459 1744612 1793957 1957044 2616918 3587914 4797683 5233836 5381871 7175828 9595366 10763742 14110471 14393049 19190732 21527484 28220942 28786098 42331413 56441884 57572196 84662826 155215181 169325652 310430362 465645543 620860724 931291086 1001843441 1862582172 2003686882 3005530323 4007373764 6011060646 11020277851 12022121292 22040555702 33060833553 44081111404 66121667106 132243334212