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20000111111000 = 235353996737861
BaseRepresentation
bin1001000110000101000111…
…00001001010101101011000
32121210222210010112112021222
410203002203201022231120
510110140211421023000
6110311531343351212
74132650253321436
oct443024341125530
977728703475258
1020000111111000
116410aaa358409
1222b01a48b2508
13b210053179a7
144d2020d01d56
1524a3ae9d2a85
hex1230a384ab58

20000111111000 has 128 divisors (see below), whose sum is σ = 47689327445760. Its totient is φ = 7848105408000.

The previous prime is 20000111110963. The next prime is 20000111111027. The reversal of 20000111111000 is 11111100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 528232070 + ... + 528269930.

It is an arithmetic number, because the mean of its divisors is an integer number (372572870670).

Almost surely, 220000111111000 is an apocalyptic number.

20000111111000 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 20000111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844663722880).

20000111111000 is an abundant number, since it is smaller than the sum of its proper divisors (27689216334760).

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

20000111111000 is a wasteful number, since it uses less digits than its factorization.

20000111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47902 (or 47888 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20000111111000 its reverse (11111100002), we get a palindrome (20011222211002).

The spelling of 20000111111000 in words is "twenty trillion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 9967 10600 13250 19934 26500 37861 39868 49835 53000 75722 79736 99670 151444 189305 199340 249175 302888 378610 398680 498350 528251 757220 946525 996700 1056502 1245875 1514440 1893050 1993400 2006633 2113004 2491750 2641255 3786100 4013266 4226008 4732625 4983500 5282510 7572200 8026532 9465250 9967000 10033165 10565020 13206275 16053064 18930500 20066330 21130040 26412550 37861000 40132660 50165825 52825100 66031375 80265320 100331650 105650200 132062750 200663300 250829125 264125500 377360587 401326600 501658250 528251000 754721174 1003316500 1509442348 1886802935 2006633000 3018884696 3773605870 7547211740 9434014675 15094423480 18868029350 20000111111 37736058700 40000222222 47170073375 75472117400 80000444444 94340146750 100000555555 160000888888 188680293500 200001111110 377360587000 400002222220 500002777775 800004444440 1000005555550 2000011111100 2500013888875 4000022222200 5000027777750 10000055555500 20000111111000