Search a number
-
+
31213023031200 = 2535236173595639
BaseRepresentation
bin1110001100011010110010…
…01001100110111110100000
311002111221021020112101210110
413012031121021212332200
513042343232343444300
6150215022000331320
76401031544132233
oct706153111467640
9132457236471713
1031213023031200
119a4440686324a
123601362313b40
1314554b5b0097a
1479ca0b31741a
15391dc7e65550
hex1c6359266fa0

31213023031200 has 144 divisors (see below), whose sum is σ = 101626507362240. Its totient is φ = 8321169285120.

The previous prime is 31213023031199. The next prime is 31213023031231. The reversal of 31213023031200 is 213032031213.

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, 6882981 + ... + 10478619.

It is an arithmetic number, because the mean of its divisors is an integer number (705739634460).

Almost surely, 231213023031200 is an apocalyptic number.

31213023031200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213023031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50813253681120).

31213023031200 is an abundant number, since it is smaller than the sum of its proper divisors (70413484331040).

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

31213023031200 is a wasteful number, since it uses less digits than its factorization.

31213023031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599279 (or 3599266 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31213023031200 its reverse (213032031213), we get a palindrome (31426055062413).

The spelling of 31213023031200 in words is "thirty-one trillion, two hundred thirteen billion, twenty-three 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 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 3617 7234 10851 14468 18085 21702 28936 36170 43404 54255 57872 72340 86808 90425 108510 115744 144680 173616 180850 217020 271275 289360 347232 361700 434040 542550 578720 723400 868080 1085100 1446800 1736160 2170200 2893600 3595639 4340400 7191278 8680800 10786917 14382556 17978195 21573834 28765112 35956390 43147668 53934585 57530224 71912780 86295336 89890975 107869170 115060448 143825560 172590672 179781950 215738340 269672925 287651120 345181344 359563900 431476680 539345850 575302240 719127800 862953360 1078691700 1438255600 1725906720 2157383400 2876511200 4314766800 8629533600 13005426263 26010852526 39016278789 52021705052 65027131315 78032557578 104043410104 130054262630 156065115156 195081393945 208086820208 260108525260 312130230312 325135656575 390162787890 416173640416 520217050520 624260460624 650271313150 780325575780 975406969725 1040434101040 1248520921248 1300542626300 1560651151560 1950813939450 2080868202080 2601085252600 3121302303120 3901627878900 5202170505200 6242604606240 7803255757800 10404341010400 15606511515600 31213023031200