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211312013222200 = 23521153234193989
BaseRepresentation
bin110000000010111111101001…
…011111000010000100111000
31000201012020020112012200102111
4300002333221133002010320
5210144114000341102300
62025231222043142104
762336534451240112
oct6002775137020470
91021166215180374
10211312013222200
116136aa15631170
121b849825814934
1390ba839325727
143a277ad99c3b2
151966a9c8da9ba
hexc02fe97c2138

211312013222200 has 144 divisors (see below), whose sum is σ = 546267455004600. Its totient is φ = 75390904742400.

The previous prime is 211312013222171. The next prime is 211312013222207. The reversal of 211312013222200 is 2222310213112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312013222207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10917195 + ... + 23276794.

Almost surely, 2211312013222200 is an apocalyptic number.

211312013222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312013222200 is an abundant number, since it is smaller than the sum of its proper divisors (334955441782400).

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

211312013222200 is a wasteful number, since it uses less digits than its factorization.

211312013222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34194122 (or 34194060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211312013222200 its reverse (2222310213112), we get a palindrome (213534323435312).

The spelling of 211312013222200 in words is "two hundred eleven trillion, three hundred twelve billion, thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2809 2915 4664 5300 5618 5830 10600 11236 11660 14045 14575 22472 23320 28090 29150 30899 56180 58300 61798 70225 112360 116600 123596 140450 154495 247192 280900 308990 561800 617980 772475 1235960 1544950 3089900 6179800 34193989 68387978 136775956 170969945 273551912 341939890 376133879 683879780 752267758 854849725 1367759560 1504535516 1709699450 1812281417 1880669395 3009071032 3419398900 3624562834 3761338790 6838797800 7249125668 7522677580 9061407085 9403346975 14498251336 15045355160 18122814170 18806693950 19935095587 36245628340 37613387900 39870191174 45307035425 72491256680 75226775800 79740382348 90614070850 96050915101 99675477935 159480764696 181228141700 192101830202 199350955870 362456283400 384203660404 398701911740 480254575505 498377389675 768407320808 797403823480 960509151010 996754779350 1056560066111 1921018302020 1993509558700 2113120132222 2401272877525 3842036604040 3987019117400 4226240264444 4802545755050 5282800330555 8452480528888 9605091510100 10565600661110 19210183020200 21131201322220 26414001652775 42262402644440 52828003305550 105656006611100 211312013222200