Search a number
-
+
132321332333340 = 223352219311041297
BaseRepresentation
bin11110000101100001110110…
…000000101000101100011100
3122100111210111011022222111000
4132011201312000220230130
5114320423042034131330
61145231325250030300
736604620653033643
oct3605416600505434
9570453434288430
10132321332333340
1139186186546067
1212a10916578390
1358aab0436bab7
14249655adb235a
151046eac92b560
hex785876028b1c

132321332333340 has 96 divisors (see below), whose sum is σ = 411684953924160. Its totient is φ = 35284095479808.

The previous prime is 132321332333329. The next prime is 132321332333353. The reversal of 132321332333340 is 43333233123231.

132321332333340 is a `hidden beast` number, since 1 + 3 + 2 + 321 + 3 + 323 + 3 + 3 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132321332333295 and 132321332333304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6463572 + ... + 17504868.

It is an arithmetic number, because the mean of its divisors is an integer number (4288384936710).

Almost surely, 2132321332333340 is an apocalyptic number.

132321332333340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321332333340 is an abundant number, since it is smaller than the sum of its proper divisors (279363621590820).

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

132321332333340 is a wasteful number, since it uses less digits than its factorization.

132321332333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11063508 (or 11063500 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 132321332333340 its reverse (43333233123231), we get a palindrome (175654565456571).

The spelling of 132321332333340 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, three hundred thirty-two million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 22193 44386 66579 88772 110965 133158 199737 221930 266316 332895 399474 443860 599211 665790 798948 998685 1198422 1331580 1997370 2396844 2996055 3994740 5992110 11041297 11984220 22082594 33123891 44165188 55206485 66247782 99371673 110412970 132495564 165619455 198743346 220825940 298115019 331238910 397486692 496858365 596230038 662477820 993716730 1192460076 1490575095 1987433460 2981150190 5962300380 245039504321 490079008642 735118512963 980158017284 1225197521605 1470237025926 2205355538889 2450395043210 2940474051852 3675592564815 4410711077778 4900790086420 6616066616667 7351185129630 8821422155556 11026777694445 13232133233334 14702370259260 22053555388890 26464266466668 33080333083335 44107110777780 66160666166670 132321332333340