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22012011120 = 24351141203363
BaseRepresentation
bin10100100000000001…
…001010001001110000
32002211001111000122010
4110200001022021300
5330040033323440
614040121442520
71406323002351
oct244001121160
962731430563
1022012011120
11937622a830
124323940440
1320ca499068
1410cb5c9d28
1588c702580
hex52004a270

22012011120 has 160 divisors (see below), whose sum is σ = 76256619264. Its totient is φ = 5206067200.

The previous prime is 22012011083. The next prime is 22012011121. The reversal of 22012011120 is 2111021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22012011096 and 22012011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6559 + ... + 209921.

Almost surely, 222012011120 is an apocalyptic number.

22012011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38128309632).

22012011120 is an abundant number, since it is smaller than the sum of its proper divisors (54244608144).

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

22012011120 is a wasteful number, since it uses less digits than its factorization.

22012011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203431 (or 203425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22012011120 its reverse (2111021022), we get a palindrome (24123032142).

The spelling of 22012011120 in words is "twenty-two billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 203363 406726 610089 813452 1016815 1220178 1626904 2033630 2236993 2440356 3050445 3253808 4067260 4473986 4880712 6100890 6710979 8134520 8337883 8947972 9761424 11184965 12201780 13421958 16269040 16675766 17895944 22369930 24403560 25013649 26843916 33351532 33554895 35791888 41689415 44739860 48807120 50027298 53687832 66703064 67109790 83378830 89479720 91716713 100054596 107375664 125068245 133406128 134219580 166757660 178959440 183433426 200109192 250136490 268439160 275150139 333515320 366866852 400218384 458583565 500272980 536878320 550300278 667030640 733733704 917167130 1000545960 1100600556 1375750695 1467467408 1834334260 2001091920 2201201112 2751501390 3668668520 4402402224 5503002780 7337337040 11006005560 22012011120