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211022212111220 = 225171923155460063
BaseRepresentation
bin101111111110110001101111…
…111111100001101101110100
31000200011112012210021220020202
4233332301233333201231310
5210124341442300024340
62024450133235420032
762306565064365656
oct5776615777415564
91020145183256222
10211022212111220
1161269021443174
121b801627a54618
13909940346c9c3
143a1775b1926d6
15195e28a7c4c15
hexbfec6ffe1b74

211022212111220 has 144 divisors (see below), whose sum is σ = 511183839817728. Its totient is φ = 72834590223360.

The previous prime is 211022212111037. The next prime is 211022212111231. The reversal of 211022212111220 is 22111212220112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211022212111192 and 211022212111201.

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, 23925092 + ... + 31534971.

It is an arithmetic number, because the mean of its divisors is an integer number (3549887776512).

Almost surely, 2211022212111220 is an apocalyptic number.

211022212111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022212111220 is an abundant number, since it is smaller than the sum of its proper divisors (300161627706508).

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

211022212111220 is a wasteful number, since it uses less digits than its factorization.

211022212111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55460158 (or 55460137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211022212111220 its reverse (22111212220112), we get a palindrome (233133424331332).

The spelling of 211022212111220 in words is "two hundred eleven trillion, twenty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 31 34 38 62 68 76 85 95 124 155 170 190 310 323 340 361 380 527 589 620 646 722 1054 1178 1292 1444 1615 1805 2108 2356 2635 2945 3230 3610 5270 5890 6137 6460 7220 10013 10540 11191 11780 12274 20026 22382 24548 30685 40052 44764 50065 55955 61370 100130 111910 122740 190247 200260 223820 380494 760988 951235 1902470 3804940 55460063 110920126 221840252 277300315 554600630 942821071 1053741197 1109201260 1719261953 1885642142 2107482394 3438523906 3771284284 4214964788 4714105355 5268705985 6877047812 8596309765 9428210710 10537411970 17192619530 17913600349 18856421420 20021082743 21074823940 29227453201 32665977107 34385239060 35827200698 40042165486 58454906402 65331954214 71654401396 80084330972 89568001745 100105413715 116909812804 130663908428 146137266005 163329885535 179136003490 200210827430 292274532010 326659771070 340358406631 358272006980 400421654860 555321610819 584549064020 620653565033 653319542140 680716813262 1110643221638 1241307130066 1361433626524 1701792033155 2221286443276 2482614260132 2776608054095 3103267825165 3403584066310 5553216108190 6206535650330 6807168132620 10551110605561 11106432216380 12413071300660 21102221211122 42204442422244 52755553027805 105511106055610 211022212111220