Search a number
-
+
211213313322000 = 24353113200201717
BaseRepresentation
bin110000000001100011101110…
…100000110010110000010000
31000200211210110221221020211020
4300001203232200302300100
5210141004331202301000
62025114020121515440
762326441542026043
oct6001435640626020
91020753427836736
10211213313322000
1161332077061310
121b83267b342b80
1390b1439c87512
143a22ac9486c5a
1519642228b0ba0
hexc018ee832c10

211213313322000 has 160 divisors (see below), whose sum is σ = 742856424395904. Its totient is φ = 51203227456000.

The previous prime is 211213313321999. The next prime is 211213313322007. The reversal of 211213313322000 is 223313312112.

It is a super-2 number, since 2×2112133133220002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211213313322007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1600034859 + ... + 1600166858.

Almost surely, 2211213313322000 is an apocalyptic number.

211213313322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213313322000 is an abundant number, since it is smaller than the sum of its proper divisors (531643111073904).

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

211213313322000 is a wasteful number, since it uses less digits than its factorization.

211213313322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200201754 (or 3200201738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211213313322000 its reverse (223313312112), we get a palindrome (211436626634112).

The spelling of 211213313322000 in words is "two hundred eleven trillion, two hundred thirteen billion, three hundred thirteen million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3200201717 6400403434 9600605151 12800806868 16001008585 19201210302 25601613736 32002017170 35202218887 38402420604 48003025755 51203227472 64004034340 70404437774 76804841208 80005042925 96006051510 105606656661 128008068680 140808875548 153609682416 160010085850 176011094435 192012103020 211213313322 240015128775 256016137360 281617751096 320020171700 352022188870 384024206040 400025214625 422426626644 480030257550 528033283305 563235502192 640040343400 704044377740 768048412080 800050429250 844853253288 880055472175 960060515100 1056066566610 1200075643875 1280080686800 1408088755480 1600100858500 1689706506576 1760110944350 1920121030200 2112133133220 2400151287750 2640166416525 2816177510960 3200201717000 3520221888700 3840242060400 4224266266440 4400277360875 4800302575500 5280332833050 6400403434000 7040443777400 8448532532880 8800554721750 9600605151000 10560665666100 13200832082625 14080887554800 17601109443500 19201210302000 21121331332200 26401664165250 35202218887000 42242662664400 52803328330500 70404437774000 105606656661000 211213313322000