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31201111200 = 2535271857209
BaseRepresentation
bin11101000011101110…
…110010110010100000
32222112110101200012010
4131003232302302200
51002344441024300
622200020032520
72153123032530
oct350356626240
988473350163
1031201111200
1112261239716
126069232740
132c3318829c
14171db874c0
15c292d3a50
hex743bb2ca0

31201111200 has 144 divisors (see below), whose sum is σ = 116068196160. Its totient is φ = 7131678720.

The previous prime is 31201111199. The next prime is 31201111267. The reversal of 31201111200 is 211110213.

It is a super-2 number, since 2×312011112002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911805 + ... + 945404.

It is an arithmetic number, because the mean of its divisors is an integer number (806029140).

Almost surely, 231201111200 is an apocalyptic number.

31201111200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31201111200 is an abundant number, since it is smaller than the sum of its proper divisors (84867084960).

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

31201111200 is a wasteful number, since it uses less digits than its factorization.

31201111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857239 (or 1857226 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 31201111200 its reverse (211110213), we get a palindrome (31412221413).

The spelling of 31201111200 in words is "thirty-one billion, two hundred one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 1857209 3714418 5571627 7428836 9286045 11143254 13000463 14857672 18572090 22286508 26000926 27858135 29715344 37144180 39001389 44573016 46430225 52001852 55716270 59430688 65002315 74288360 78002778 89146032 92860450 104003704 111432540 130004630 139290675 148576720 156005556 178292064 185720900 195006945 208007408 222865080 260009260 278581350 297153440 312011112 325011575 371441800 390013890 416014816 445730160 520018520 557162700 624022224 650023150 742883600 780027780 891460320 975034725 1040037040 1114325400 1248044448 1300046300 1485767200 1560055560 1950069450 2080074080 2228650800 2600092600 3120111120 3900138900 4457301600 5200185200 6240222240 7800277800 10400370400 15600555600 31201111200