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132310023120 = 243251116705811
BaseRepresentation
bin111101100111001001…
…0101011101111010000
3110122111220122120121200
41323032102223233100
54131432331214440
6140440554551200
712362523432432
oct1731622535720
9418456576550
10132310023120
1151126616750
1221786438500
13c627648c12
1465921c6652
153695a64c30
hex1ece4abbd0

132310023120 has 120 divisors (see below), whose sum is σ = 484735840992. Its totient is φ = 32075155200.

The previous prime is 132310023119. The next prime is 132310023133. The reversal of 132310023120 is 21320013231.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 132310023093 and 132310023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8344986 + ... + 8360825.

Almost surely, 2132310023120 is an apocalyptic number.

132310023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132310023120 is an abundant number, since it is smaller than the sum of its proper divisors (352425817872).

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

132310023120 is a wasteful number, since it uses less digits than its factorization.

132310023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705841 (or 16705832 counting only the distinct ones).

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

Adding to 132310023120 its reverse (21320013231), we get a palindrome (153630036351).

The spelling of 132310023120 in words is "one hundred thirty-two billion, three hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16705811 33411622 50117433 66823244 83529055 100234866 133646488 150352299 167058110 183763921 200469732 250587165 267292976 300704598 334116220 367527842 400939464 501174330 551291763 601409196 668232440 735055684 751761495 801878928 918819605 1002348660 1102583526 1202818392 1336464880 1470111368 1503522990 1653875289 1837639210 2004697320 2205167052 2405636784 2756458815 2940222736 3007045980 3307750578 3675278420 4009394640 4410334104 5512917630 6014091960 6615501156 7350556840 8269376445 8820668208 11025835260 12028183920 13231002312 14701113680 16538752890 22051670520 26462004624 33077505780 44103341040 66155011560 132310023120