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2100112000020 = 22325397145920143
BaseRepresentation
bin11110100011111000011…
…011100000010000010100
321102202202102020101100200
4132203320123200100110
5233402012133000040
64244440024340500
7304504506315156
oct36437033402024
97382672211320
102100112000020
1173a71a524191
1229b023314730
131230693295c8
1473908746ad6
1539966e8c630
hex1e8f86e0414

2100112000020 has 144 divisors (see below), whose sum is σ = 6391080433920. Its totient is φ = 558208620288.

The previous prime is 2100111999989. The next prime is 2100112000057. The reversal of 2100112000020 is 200002110012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100111999966 and 2100112000011.

It is a congruent number.

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, 104250069 + ... + 104270211.

Almost surely, 22100112000020 is an apocalyptic number.

2100112000020 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 2100112000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195540216960).

2100112000020 is an abundant number, since it is smaller than the sum of its proper divisors (4290968433900).

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

2100112000020 is a wasteful number, since it uses less digits than its factorization.

2100112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22014 (or 22009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100112000020 its reverse (200002110012), we get a palindrome (2300114110032).

The spelling of 2100112000020 in words is "two trillion, one hundred billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1459 1588 1985 2382 2918 3573 3970 4377 4764 5836 5955 7146 7295 7940 8754 11910 13131 14292 14590 17508 17865 20143 21885 23820 26262 29180 35730 40286 43770 52524 60429 65655 71460 80572 87540 100715 120858 131310 181287 201430 241716 262620 302145 362574 402860 579223 604290 725148 906435 1158446 1208580 1737669 1812870 2316892 2896115 3475338 3625740 5213007 5792230 6950676 7996771 8688345 10426014 11584460 15993542 17376690 20852028 23990313 26065035 29388637 31987084 34753380 39983855 47980626 52130070 58777274 71970939 79967710 88165911 95961252 104260140 117554548 119951565 143941878 146943185 159935420 176331822 239903130 264497733 287883756 293886370 352663644 359854695 440829555 479806260 528995466 587772740 719709390 881659110 1057990932 1322488665 1439418780 1763318220 2644977330 5289954660 11667288889 23334577778 35001866667 46669155556 58336444445 70003733334 105005600001 116672888890 140007466668 175009333335 210011200002 233345777780 350018666670 420022400004 525028000005 700037333340 1050056000010 2100112000020