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20001110011120 = 2457367467208393
BaseRepresentation
bin1001000110000110111110…
…00011101010110011110000
32121211002100202010220122201
410203003133003222303300
510110144233130323440
6110312214425312544
74133014102661620
oct443033703526360
977732322126581
1020001110011120
11641147219a8a7
1222b0423335754
13b2113425b354
144d20b7844880
1524a41c54819a
hex1230df0eacf0

20001110011120 has 160 divisors (see below), whose sum is σ = 53404987004928. Its totient is φ = 6824161142784.

The previous prime is 20001110011093. The next prime is 20001110011171. The reversal of 20001110011120 is 2111001110002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20001110011097 and 20001110011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95873644 + ... + 96082036.

Almost surely, 220001110011120 is an apocalyptic number.

20001110011120 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 20001110011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26702493502464).

20001110011120 is an abundant number, since it is smaller than the sum of its proper divisors (33403876993808).

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

20001110011120 is a wasteful number, since it uses less digits than its factorization.

20001110011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209247 (or 209241 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20001110011120 its reverse (2111001110002), we get a palindrome (22112111121122).

The spelling of 20001110011120 in words is "twenty trillion, one billion, one hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 367 467 560 734 934 1468 1835 1868 2335 2569 2936 3269 3670 3736 4670 5138 5872 6538 7340 7472 9340 10276 12845 13076 14680 16345 18680 20552 25690 26152 29360 32690 37360 41104 51380 52304 65380 102760 130760 171389 205520 208393 261520 342778 416786 685556 833572 856945 1041965 1199723 1371112 1458751 1667144 1713890 2083930 2399446 2742224 2917502 3334288 3427780 4167860 4798892 5835004 5998615 6855560 7293755 8335720 9597784 11670008 11997230 13711120 14587510 16671440 19195568 23340016 23994460 29175020 47988920 58350040 76480231 95977840 97319531 116700080 152960462 194639062 305920924 382401155 389278124 486597655 535361617 611841848 681236717 764802310 778556248 973195310 1070723234 1223683696 1362473434 1529604620 1557112496 1946390620 2141446468 2676808085 2724946868 3059209240 3406183585 3892781240 4282892936 5353616170 5449893736 6118418480 6812367170 7785562480 8565785872 10707232340 10899787472 13624734340 21414464680 27249468680 35716267877 42828929360 54498937360 71432535754 142865071508 178581339385 250013875139 285730143016 357162678770 500027750278 571460286032 714325357540 1000055500556 1250069375695 1428650715080 2000111001112 2500138751390 2857301430160 4000222002224 5000277502780 10000555005560 20001110011120