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242152305351300 = 22335289686039019
BaseRepresentation
bin110111000011110001111010…
…001001000101101010000100
31011202101112102111210102012000
4313003301322021011222010
5223214410410132220200
62215003122223025300
7102001632603120441
oct6703617211055204
91152345374712160
10242152305351300
1170180241522963
12231aa8a513b230
13a516b31166c46
1443b233c5a29c8
151cede0ce45300
hexdc3c7a245a84

242152305351300 has 72 divisors (see below), whose sum is σ = 778474818693600. Its totient is φ = 64573948092960.

The previous prime is 242152305351263. The next prime is 242152305351311. The reversal of 242152305351300 is 3153503251242.

242152305351300 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 523 + 0 + 53 + 51 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44843016810 + ... + 44843022209.

Almost surely, 2242152305351300 is an apocalyptic number.

242152305351300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242152305351300 is an abundant number, since it is smaller than the sum of its proper divisors (536322513342300).

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

242152305351300 is a wasteful number, since it uses less digits than its factorization.

242152305351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89686039042 (or 89686039029 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 242152305351300 in words is "two hundred forty-two trillion, one hundred fifty-two billion, three hundred five million, three hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 89686039019 179372078038 269058117057 358744156076 448430195095 538116234114 807174351171 896860390190 1076232468228 1345290585285 1614348702342 1793720780380 2242150975475 2421523053513 2690581170570 3228697404684 4035871755855 4484301950950 4843046107026 5381162341140 6726452926425 8071743511710 8968603901900 9686092214052 12107615267565 13452905852850 16143487023420 20179358779275 24215230535130 26905811705700 40358717558550 48430461070260 60538076337825 80717435117100 121076152675650 242152305351300