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200220100011120 = 24357127938414417
BaseRepresentation
bin101101100001100101011111…
…111100000010010001110000
3222020220212002000122002210010
4231201211133330002101300
5202220401231100323440
61545455502200334520
760113265504455160
oct5541453774022160
9866825060562703
10200220100011120
115888395a802392
121a557bb6474440
13879489c901557
1437629c13c25a0
1518232b6e37580
hexb6195ff02470

200220100011120 has 160 divisors (see below), whose sum is σ = 714936654839808. Its totient is φ = 45404243103744.

The previous prime is 200220100011103. The next prime is 200220100011149. The reversal of 200220100011120 is 21110001022002.

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 = 200220100011096 and 200220100011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468993849 + ... + 469420568.

Almost surely, 2200220100011120 is an apocalyptic number.

200220100011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200220100011120 is an abundant number, since it is smaller than the sum of its proper divisors (514716554828688).

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

200220100011120 is a wasteful number, since it uses less digits than its factorization.

200220100011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938414567 (or 938414561 counting only the distinct ones).

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

Adding to 200220100011120 its reverse (21110001022002), we get a palindrome (221330101033122).

The spelling of 200220100011120 in words is "two hundred trillion, two hundred twenty billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 127 140 168 210 240 254 280 336 381 420 508 560 635 762 840 889 1016 1270 1524 1680 1778 1905 2032 2540 2667 3048 3556 3810 4445 5080 5334 6096 7112 7620 8890 10160 10668 13335 14224 15240 17780 21336 26670 30480 35560 42672 53340 71120 106680 213360 938414417 1876828834 2815243251 3753657668 4692072085 5630486502 6568900919 7507315336 9384144170 11260973004 13137801838 14076216255 15014630672 18768288340 19706702757 22521946008 26275603676 28152432510 32844504595 37536576680 39413405514 45043892016 52551207352 56304865020 65689009190 75073153360 78826811028 98533513785 105102414704 112609730040 119178630959 131378018380 157653622056 197067027570 225219460080 238357261918 262756036760 315307244112 357535892877 394134055140 476714523836 525512073520 595893154795 715071785754 788268110280 834250416713 953429047672 1191786309590 1430143571508 1576536220560 1668500833426 1787679464385 1906858095344 2383572619180 2502751250139 2860287143016 3337001666852 3575358928770 4171252083565 4767145238360 5005502500278 5720574286032 6674003333704 7150717857540 8342504167130 9534290476720 10011005000556 12513756250695 13348006667408 14301435715080 16685008334260 20022010001112 25027512501390 28602871430160 33370016668520 40044020002224 50055025002780 66740033337040 100110050005560 200220100011120