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210011121122220 = 2232511139763066351
BaseRepresentation
bin101111110000000100000110…
…010001011111101110101100
31000112120212102010012212002100
4233300010012101133232230
5210011310234001402340
62022353435510455100
762143542233652015
oct5760040621375654
91015525363185070
10210011121122220
1160a09241993070
121b67968b664490
139024c6b46c6a2
1439c0841b5200c
151942d104e9830
hexbf010645fbac

210011121122220 has 144 divisors (see below), whose sum is σ = 699945503362560. Its totient is φ = 50545515024000.

The previous prime is 210011121122137. The next prime is 210011121122237. The reversal of 210011121122220 is 22221121110012.

210011121122220 is a `hidden beast` number, since 2 + 100 + 111 + 211 + 22 + 220 = 666.

210011121122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210011121122193 and 210011121122202.

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, 381257956 + ... + 381808395.

It is an arithmetic number, because the mean of its divisors is an integer number (4860732662240).

Almost surely, 2210011121122220 is an apocalyptic number.

210011121122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011121122220 is an abundant number, since it is smaller than the sum of its proper divisors (489934382240340).

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

210011121122220 is a wasteful number, since it uses less digits than its factorization.

210011121122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763066516 (or 763066511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210011121122220 its reverse (22221121110012), we get a palindrome (232232242232232).

The spelling of 210011121122220 in words is "two hundred ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred 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 99 110 132 139 165 180 198 220 278 330 396 417 495 556 660 695 834 990 1251 1390 1529 1668 1980 2085 2502 2780 3058 4170 4587 5004 6116 6255 7645 8340 9174 12510 13761 15290 18348 22935 25020 27522 30580 45870 55044 68805 91740 137610 275220 763066351 1526132702 2289199053 3052265404 3815331755 4578398106 6867597159 7630663510 8393729861 9156796212 11445995265 13735194318 15261327020 16787459722 22891990530 25181189583 27470388636 33574919444 34337985795 41968649305 45783981060 50362379166 68675971590 75543568749 83937298610 100724758332 106066222789 125905947915 137351943180 151087137498 167874597220 212132445578 251811895830 302174274996 318198668367 377717843745 424264891156 503623791660 530331113945 636397336734 755435687490 954596005101 1060662227890 1166728450679 1272794673468 1510871374980 1590993341835 1909192010202 2121324455780 2333456901358 3181986683670 3500185352037 3818384020404 4666913802716 4772980025505 5833642253395 6363973367340 7000370704074 9545960051010 10500556056111 11667284506790 14000741408148 17500926760185 19091920102020 21001112112222 23334569013580 35001853520370 42002224224444 52502780280555 70003707040740 105005560561110 210011121122220