Search a number
-
+
132233122112 = 2671329377491
BaseRepresentation
bin111101100100110110…
…1010101000101000000
3110122022112221121021012
41323021231111011000
54131303134401422
6140425210420052
712360600664310
oct1731155250500
9418275847235
10132233122112
11510971718a3
1221764731628
13c614732270
146585cc9440
15368de244e2
hex1ec9b55140

132233122112 has 112 divisors (see below), whose sum is σ = 324060385152. Its totient is φ = 52132792320.

The previous prime is 132233122067. The next prime is 132233122129. The reversal of 132233122112 is 211221332231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1667687 + ... + 1745177.

It is an arithmetic number, because the mean of its divisors is an integer number (2893396296).

Almost surely, 2132233122112 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 132233122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162030192576).

132233122112 is an abundant number, since it is smaller than the sum of its proper divisors (191827263040).

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

132233122112 is a wasteful number, since it uses less digits than its factorization.

132233122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77816 (or 77806 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 132233122112 its reverse (211221332231), we get a palindrome (343454454343).

The spelling of 132233122112 in words is "one hundred thirty-two billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 293 364 416 448 586 728 832 1172 1456 2051 2344 2912 3809 4102 4688 5824 7618 8204 9376 15236 16408 18752 26663 30472 32816 53326 60944 65632 77491 106652 121888 131264 154982 213304 243776 309964 426608 542437 619928 853216 1007383 1084874 1239856 1706432 2014766 2169748 2479712 4029532 4339496 4959424 7051681 8059064 8678992 14103362 16118128 17357984 22704863 28206724 32236256 34715968 45409726 56413448 64472512 90819452 112826896 158934041 181638904 225653792 295163219 317868082 363277808 451307584 590326438 635736164 726555616 1180652876 1271472328 1453111232 2066142533 2361305752 2542944656 4132285066 4722611504 5085889312 8264570132 9445223008 10171778624 16529140264 18890446016 33058280528 66116561056 132233122112