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211120220221020 = 2232511230303462983
BaseRepresentation
bin110000000000001101000001…
…101110110010111001011100
31000200111220012010211201211100
4300000031001232302321130
5210132443202334033040
62025003142405353100
762316634603520265
oct6000150156627134
91020456163751740
10211120220221020
11612a6645470720
121b81861a708790
1390a57223b4496
143a1c3b786996c
151961ac4beeb30
hexc00341bb2e5c

211120220221020 has 144 divisors (see below), whose sum is σ = 698620543875072. Its totient is φ = 51180326670720.

The previous prime is 211120220220953. The next prime is 211120220221129. The reversal of 211120220221020 is 20122022021112.

It is a happy number.

211120220221020 is a `hidden beast` number, since 21 + 11 + 202 + 202 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211120220220984 and 211120220221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455768449 + ... + 456231431.

It is an arithmetic number, because the mean of its divisors is an integer number (4851531554688).

Almost surely, 2211120220221020 is an apocalyptic number.

211120220221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120220221020 is an abundant number, since it is smaller than the sum of its proper divisors (487500323654052).

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

211120220221020 is a wasteful number, since it uses less digits than its factorization.

211120220221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693312 (or 693307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211120220221020 its reverse (20122022021112), we get a palindrome (231242242242132).

The spelling of 211120220221020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 230303 460606 462983 690909 921212 925966 1151515 1381818 1388949 1851932 2072727 2303030 2314915 2533333 2763636 2777898 3454545 4145454 4166847 4606060 4629830 5066666 5092813 5555796 6909090 6944745 7599999 8290908 8333694 9259660 10133332 10185626 10363635 12666665 13818180 13889490 15199998 15278439 16667388 20371252 20727270 20834235 22799997 25333330 25464065 27778980 30399996 30556878 37999995 41454540 41668470 45599994 45835317 50666660 50928130 61113756 75999990 76392195 83336940 91199988 91670634 101856260 113999985 151999980 152784390 183341268 227999970 229176585 305568780 455999940 458353170 916706340 106626373849 213252747698 319879121547 426505495396 533131869245 639758243094 959637364641 1066263738490 1172890112339 1279516486188 1599395607735 1919274729282 2132527476980 2345780224678 3198791215470 3518670337017 3838549458564 4691560449356 4798186823205 5864450561695 6397582430940 7037340674034 9596373646410 10556011011051 11728901123390 14074681348068 17593351685085 19192747292820 21112022022102 23457802246780 35186703370170 42224044044204 52780055055255 70373406740340 105560110110510 211120220221020