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132014253310200 = 233252654131121203
BaseRepresentation
bin11110000001000011110110…
…101011001000000011111000
3122022102102212021222022120200
4132001003312223020003320
5114300410142321411300
61144434302152522200
736543500156305002
oct3601036653100370
9568372767868520
10132014253310200
1139077a26430a18
12129812b63b0360
135887b76a59701
142485749a23372
15103ded8a44200
hex7810f6ac80f8

132014253310200 has 144 divisors (see below), whose sum is σ = 443355040466520. Its totient is φ = 35203231307520.

The previous prime is 132014253310193. The next prime is 132014253310231. The reversal of 132014253310200 is 2013352410231.

132014253310200 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 425 + 3 + 31 + 0 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117182799 + ... + 118304001.

Almost surely, 2132014253310200 is an apocalyptic number.

132014253310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014253310200 is an abundant number, since it is smaller than the sum of its proper divisors (311340787156320).

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

132014253310200 is a wasteful number, since it uses less digits than its factorization.

132014253310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186638 (or 1186626 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 132014253310200 in words is "one hundred thirty-two trillion, fourteen billion, two hundred fifty-three million, three hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 65413 130826 196239 261652 327065 392478 523304 588717 654130 784956 981195 1121203 1177434 1308260 1569912 1635325 1962390 2242406 2354868 2616520 2943585 3270650 3363609 3924780 4484812 4709736 4905975 5606015 5887170 6541300 6727218 7849560 8969624 9811950 10090827 11212030 11774340 13082600 13454436 14717925 16818045 19623900 20181654 22424060 23548680 26908872 28030075 29435850 33636090 39247800 40363308 44848120 50454135 56060150 58871700 67272180 80726616 84090225 100908270 112120300 117743400 134544360 168180450 201816540 224240600 252270675 336360900 403633080 504541350 672721800 1009082700 2018165400 73341251839 146682503678 220023755517 293365007356 366706259195 440047511034 586730014712 660071266551 733412518390 880095022068 1100118777585 1320142533102 1466825036780 1760190044136 1833531295975 2200237555170 2640285066204 2933650073560 3300356332755 3667062591950 4400475110340 5280570132408 5500593887925 6600712665510 7334125183900 8800950220680 11001187775850 13201425331020 14668250367800 16501781663775 22002375551700 26402850662040 33003563327550 44004751103400 66007126655100 132014253310200