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132120303120 = 24335134705139
BaseRepresentation
bin111101100001011111…
…0111101011000010000
3110122000200122210201000
41323002332331120100
54131040244144440
6140410100342000
712355031022051
oct1730276753020
9418020583630
10132120303120
1151039515263
12217329a4900
13c5c7250a70
146574d1c728
15368408b730
hex1ec2fbd610

132120303120 has 160 divisors (see below), whose sum is σ = 490087382400. Its totient is φ = 32521913856.

The previous prime is 132120303047. The next prime is 132120303131. The reversal of 132120303120 is 21303021231.

132120303120 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 30 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132120303093 and 132120303102.

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, 2324490 + ... + 2380649.

It is an arithmetic number, because the mean of its divisors is an integer number (3063046140).

Almost surely, 2132120303120 is an apocalyptic number.

132120303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120303120 is an abundant number, since it is smaller than the sum of its proper divisors (357967079280).

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

132120303120 is a wasteful number, since it uses less digits than its factorization.

132120303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705174 (or 4705162 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132120303120 its reverse (21303021231), we get a palindrome (153423324351).

The spelling of 132120303120 in words is "one hundred thirty-two billion, one hundred twenty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 4705139 9410278 14115417 18820556 23525695 28230834 37641112 42346251 47051390 56461668 61166807 70577085 75282224 84692502 94102780 112923336 122333614 127038753 141154170 169385004 183500421 188205560 211731255 225846672 244667228 254077506 282308340 305834035 338770008 367000842 376411120 423462510 489334456 508155012 550501263 564616680 611668070 635193765 677540016 734001684 846925020 917502105 978668912 1016310024 1101002526 1129233360 1223336140 1270387530 1468003368 1651503789 1693850040 1835004210 2032620048 2202005052 2446672280 2540775060 2752506315 2936006736 3303007578 3387700080 3670008420 4404010104 4893344560 5081550120 5505012630 6606015156 7340016840 8257518945 8808020208 10163100240 11010025260 13212030312 14680033680 16515037890 22020050520 26424060624 33030075780 44040101040 66060151560 132120303120