Search a number
-
+
132302103320112 = 243112352612070793
BaseRepresentation
bin11110000101001111111011…
…110111110001011000110000
3122100102221212001112220020220
4132011033323313301120300
5114320114201422220422
61145214425221333040
736603340312104615
oct3605177367613060
9570387761486226
10132302103320112
11391790092408a0
1212a0904a867180
1358a905b62926b
14249565526250c
151046734705e5c
hex7853fbdf1630

132302103320112 has 160 divisors (see below), whose sum is σ = 389136451815936. Its totient is φ = 38341128038400.

The previous prime is 132302103320063. The next prime is 132302103320137. The reversal of 132302103320112 is 211023301203231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 62854188 + ... + 64924980.

Almost surely, 2132302103320112 is an apocalyptic number.

132302103320112 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 132302103320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194568225907968).

132302103320112 is an abundant number, since it is smaller than the sum of its proper divisors (256834348495824).

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

132302103320112 is a wasteful number, since it uses less digits than its factorization.

132302103320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076099 (or 2076093 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132302103320112 its reverse (211023301203231), we get a palindrome (343325404523343).

The spelling of 132302103320112 in words is "one hundred thirty-two trillion, three hundred two billion, one hundred three million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 5261 6072 10522 12144 15783 21044 31566 42088 57871 63132 84176 115742 121003 126264 173613 231484 242006 252528 347226 363009 462968 484012 694452 726018 925936 968024 1331033 1388904 1452036 1936048 2070793 2662066 2777808 2904072 3993099 4141586 5324132 5808144 6212379 7986198 8283172 10648264 12424758 15972396 16566344 21296528 22778723 24849516 31944792 33132688 45557446 47628239 49699032 63889584 68336169 91114892 95256478 99398064 136672338 142884717 182229784 190512956 273344676 285769434 364459568 381025912 523910629 546689352 571538868 762051824 1047821258 1093378704 1143077736 1571731887 2095642516 2286155472 3143463774 4191285032 6286927548 8382570064 10894441973 12573855096 21788883946 25147710192 32683325919 43577767892 65366651838 87155535784 119838861703 130733303676 174311071568 239677723406 250572165379 261466607352 359516585109 479355446812 501144330758 522933214704 719033170218 751716496137 958710893624 1002288661516 1438066340436 1503432992274 1917421787248 2004577323032 2756293819169 2876132680872 3006865984548 4009154646064 5512587638338 5752265361744 6013731969096 8268881457507 11025175276676 12027463938192 16537762915014 22050350553352 33075525830028 44100701106704 66151051660056 132302103320112