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132032124112 = 24717293311761
BaseRepresentation
bin111101011110110111…
…0100101010011010000
3110121210112201211211211
41322331232211103100
54130400210432422
6140353230345504
712352610352310
oct1727556452320
9417715654754
10132032124112
1150aa3768049
122170935b294
13c5b1bb8935
146567327440
15367b46e577
hex1ebdba54d0

132032124112 has 160 divisors (see below), whose sum is σ = 312019029504. Its totient is φ = 52834713600.

The previous prime is 132032124073. The next prime is 132032124113. The reversal of 132032124112 is 211421230231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032124113) 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, 173497812 + ... + 173498572.

Almost surely, 2132032124112 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 132032124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156009514752).

132032124112 is an abundant number, since it is smaller than the sum of its proper divisors (179986905392).

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

132032124112 is a wasteful number, since it uses less digits than its factorization.

132032124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132032124112 its reverse (211421230231), we get a palindrome (343453354343).

The spelling of 132032124112 in words is "one hundred thirty-two billion, thirty-two million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 293 311 476 586 622 761 952 1172 1244 1522 1904 2051 2177 2344 2488 3044 4102 4354 4688 4976 4981 5287 5327 6088 8204 8708 9962 10574 10654 12176 12937 16408 17416 19924 21148 21308 25874 32816 34832 34867 37009 39848 42296 42616 51748 69734 74018 79696 84592 85232 90559 91123 103496 139468 148036 181118 182246 206992 222973 236671 278936 296072 362236 364492 445946 473342 557872 592144 637861 724472 728984 891892 946684 1275722 1448944 1457968 1549091 1560811 1656697 1783784 1893368 2551444 3098182 3121622 3313394 3567568 3786736 3790541 4023407 5102888 6196364 6243244 6626788 7581082 8046814 10205776 10843637 12392728 12486488 13253576 15162164 16093628 21687274 24785456 24972976 26507152 26533787 28163849 30324328 32187256 43374548 53067574 56327698 60648656 64374512 69344603 86749096 106135148 112655396 138689206 173498192 212270296 225310792 277378412 424540592 450621584 485412221 554756824 970824442 1109513648 1178858251 1941648884 2357716502 3883297768 4715433004 7766595536 8252007757 9430866008 16504015514 18861732016 33008031028 66016062056 132032124112