Search a number
-
+
212140243100000 = 25555903359377
BaseRepresentation
bin110000001111000010111111…
…110101010010000101100000
31000211010102001021211210121202
4300033002333311102011200
5210301201204213200000
62031103514323540332
762453424662112635
oct6017027765220540
91024112037753552
10212140243100000
116165a198821986
121b96224a22a6a8
13914a97ba085b7
143a558dd23218c
15197d3c4200dd5
hexc0f0bfd52160

212140243100000 has 144 divisors (see below), whose sum is σ = 522120355033536. Its totient is φ = 84841486080000.

The previous prime is 212140243099957. The next prime is 212140243100011. The reversal of 212140243100000 is 1342041212.

It is a super-2 number, since 2×2121402431000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 590120312 + ... + 590479688.

It is an arithmetic number, because the mean of its divisors is an integer number (3625835798844).

Almost surely, 2212140243100000 is an apocalyptic number.

212140243100000 is a gapful number since it is divisible by the number (20) 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 212140243100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261060177516768).

212140243100000 is an abundant number, since it is smaller than the sum of its proper divisors (309980111933536).

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

212140243100000 is an frugal number, since it uses more digits than its factorization.

212140243100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365315 (or 365287 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212140243100000 its reverse (1342041212), we get a palindrome (212141585141212).

The spelling of 212140243100000 in words is "two hundred twelve trillion, one hundred forty billion, two hundred forty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 5903 6250 10000 11806 12500 20000 23612 25000 29515 47224 50000 59030 94448 100000 118060 147575 188896 236120 295150 359377 472240 590300 718754 737875 944480 1180600 1437508 1475750 1796885 2361200 2875016 2951500 3593770 3689375 4722400 5750032 5903000 7187540 7378750 8984425 11500064 11806000 14375080 14757500 17968850 18446875 23612000 28750160 29515000 35937700 36893750 44922125 57500320 59030000 71875400 73787500 89844250 118060000 143750800 147575000 179688500 224610625 287501600 295150000 359377000 449221250 590300000 718754000 898442500 1123053125 1437508000 1796885000 2121402431 2246106250 3593770000 4242804862 4492212500 7187540000 8485609724 8984425000 10607012155 16971219448 17968850000 21214024310 33942438896 35937700000 42428048620 53035060775 67884877792 84856097240 106070121550 169712194480 212140243100 265175303875 339424388960 424280486200 530350607750 848560972400 1060701215500 1325876519375 1697121944800 2121402431000 2651753038750 4242804862000 5303506077500 6629382596875 8485609724000 10607012155000 13258765193750 21214024310000 26517530387500 42428048620000 53035060775000 106070121550000 212140243100000