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2117229031200 = 253527112425053
BaseRepresentation
bin11110110011110100101…
…011110010111100100000
321111101221022221122212110
4132303310223302330200
5234142041112444300
64300350325555320
7305651623554153
oct36636453627440
97441838848773
102117229031200
11746a03657048
122a23bb875b40
1312486664751a
147468dbabc9a
153a119a80550
hex1ecf4af2f20

2117229031200 has 144 divisors (see below), whose sum is σ = 6988645573056. Its totient is φ = 556642329600.

The previous prime is 2117229031199. The next prime is 2117229031219. The reversal of 2117229031200 is 21309227112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042127 + ... + 6382926.

It is an arithmetic number, because the mean of its divisors is an integer number (48532260924).

Almost surely, 22117229031200 is an apocalyptic number.

2117229031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117229031200 is an abundant number, since it is smaller than the sum of its proper divisors (4871416541856).

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

2117229031200 is a wasteful number, since it uses less digits than its factorization.

2117229031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425147 (or 12425134 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 2117229031200 in words is "two trillion, one hundred seventeen billion, two hundred twenty-nine million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 71 75 80 96 100 120 142 150 160 200 213 240 284 300 355 400 426 480 568 600 710 800 852 1065 1136 1200 1420 1704 1775 2130 2272 2400 2840 3408 3550 4260 5325 5680 6816 7100 8520 10650 11360 14200 17040 21300 28400 34080 42600 56800 85200 170400 12425053 24850106 37275159 49700212 62125265 74550318 99400424 124250530 149100636 186375795 198800848 248501060 298201272 310626325 372751590 397601696 497002120 596402544 621252650 745503180 882178763 931878975 994004240 1192805088 1242505300 1491006360 1764357526 1863757950 1988008480 2485010600 2646536289 2982012720 3528715052 3727515900 4410893815 4970021200 5293072578 5964025440 7057430104 7455031800 8821787630 9940042400 10586145156 13232681445 14114860208 14910063600 17643575260 21172290312 22054469075 26465362890 28229720416 29820127200 35287150520 42344580624 44108938150 52930725780 66163407225 70574301040 84689161248 88217876300 105861451560 132326814450 141148602080 176435752600 211722903120 264653628900 352871505200 423445806240 529307257800 705743010400 1058614515600 2117229031200