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31230231200 = 2552721312617
BaseRepresentation
bin11101000101011101…
…111000001010100000
32222121111012010022122
4131011131320022200
51002424414344300
622202540123412
72153625404510
oct350535701240
988544163278
1031230231200
1112276718a33
126076b36568
132c3921285c
1417239a7840
15c2bb36c85
hex7457782a0

31230231200 has 144 divisors (see below), whose sum is σ = 87206543424. Its totient is φ = 10698393600.

The previous prime is 31230231187. The next prime is 31230231233. The reversal of 31230231200 is 213203213.

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, 11932292 + ... + 11934908.

It is an arithmetic number, because the mean of its divisors is an integer number (605600996).

Almost surely, 231230231200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31230231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43603271712).

31230231200 is an abundant number, since it is smaller than the sum of its proper divisors (55976312224).

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

31230231200 is a wasteful number, since it uses less digits than its factorization.

31230231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31230231200 its reverse (213203213), we get a palindrome (31443434413).

The spelling of 31230231200 in words is "thirty-one billion, two hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2131 2617 2800 4262 5234 5600 8524 10468 10655 13085 14917 17048 18319 20936 21310 26170 29834 34096 36638 41872 42620 52340 53275 59668 65425 68192 73276 74585 83744 85240 91595 104680 106550 119336 130850 146552 149170 170480 183190 209360 213100 238672 261700 293104 298340 340960 366380 372925 418720 426200 457975 477344 523400 586208 596680 732760 745850 852400 915950 1046800 1193360 1465520 1491700 1704800 1831900 2093600 2386720 2931040 2983400 3663800 5576827 5966800 7327600 11153654 11933600 14655200 22307308 27884135 39037789 44614616 55768270 78075578 89229232 111536540 139420675 156151156 178458464 195188945 223073080 278841350 312302312 390377890 446146160 557682700 624604624 780755780 892292320 975944725 1115365400 1249209248 1561511560 1951889450 2230730800 3123023120 3903778900 4461461600 6246046240 7807557800 15615115600 31230231200