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132100032240 = 243251116679297
BaseRepresentation
bin111101100000111000…
…1101000011011110000
3110121222021111221021200
41323001301220123300
54131020102012430
6140404054051200
712354363514221
oct1730161503360
9417867457250
10132100032240
115102902a470
1221728049b00
13c5c2ca4267
146572363248
1536823d5460
hex1ec1c686f0

132100032240 has 120 divisors (see below), whose sum is σ = 483966510768. Its totient is φ = 32024248320.

The previous prime is 132100032221. The next prime is 132100032247. The reversal of 132100032240 is 42230001231.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100032247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8331729 + ... + 8347568.

Almost surely, 2132100032240 is an apocalyptic number.

132100032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100032240 is an abundant number, since it is smaller than the sum of its proper divisors (351866478528).

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

132100032240 is a wasteful number, since it uses less digits than its factorization.

132100032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16679327 (or 16679318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132100032240 its reverse (42230001231), we get a palindrome (174330033471).

The spelling of 132100032240 in words is "one hundred thirty-two billion, one hundred million, thirty-two thousand, two hundred forty".

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 16679297 33358594 50037891 66717188 83396485 100075782 133434376 150113673 166792970 183472267 200151564 250189455 266868752 300227346 333585940 366944534 400303128 500378910 550416801 600454692 667171880 733889068 750568365 800606256 917361335 1000757820 1100833602 1200909384 1334343760 1467778136 1501136730 1651250403 1834722670 2001515640 2201667204 2401818768 2752084005 2935556272 3002273460 3302500806 3669445340 4003031280 4403334408 5504168010 6004546920 6605001612 7338890680 8256252015 8806668816 11008336020 12009093840 13210003224 14677781360 16512504030 22016672040 26420006448 33025008060 44033344080 66050016120 132100032240