Search a number
-
+
2012000021100 = 2233523733199621
BaseRepresentation
bin11101010001110100100…
…010111110101001101100
321010100022202000002021000
4131101310202332221230
5230431034001133400
64140144451040300
7265235144000226
oct35216442765154
97110282002230
102012000021100
117063146172a3
12285b328a0090
13117966705684
146d54a4b5416
153750b754600
hex1d4748bea6c

2012000021100 has 144 divisors (see below), whose sum is σ = 6469972596640. Its totient is φ = 536386924800.

The previous prime is 2012000021033. The next prime is 2012000021131. The reversal of 2012000021100 is 11200002102.

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

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, 9979290 + ... + 10178910.

Almost surely, 22012000021100 is an apocalyptic number.

2012000021100 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 2012000021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234986298320).

2012000021100 is an abundant number, since it is smaller than the sum of its proper divisors (4457972575540).

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

2012000021100 is a wasteful number, since it uses less digits than its factorization.

2012000021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203377 (or 203364 counting only the distinct ones).

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

Adding to 2012000021100 its reverse (11200002102), we get a palindrome (2023200023202).

The spelling of 2012000021100 in words is "two trillion, twelve billion, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3733 7466 11199 14932 18665 22398 33597 37330 44796 55995 67194 74660 93325 100791 111990 134388 167985 186650 199621 201582 223980 279975 335970 373300 399242 403164 503955 559950 598863 671940 798484 839925 998105 1007910 1119900 1197726 1679850 1796589 1996210 2015820 2395452 2519775 2994315 3359700 3593178 3992420 4990525 5039550 5389767 5988630 7186356 8982945 9981050 10079100 10779534 11977260 14971575 17965890 19962100 21559068 26948835 29943150 35931780 44914725 53897670 59886300 89829450 107795340 134744175 179658900 269488350 538976700 745185193 1490370386 2235555579 2980740772 3725925965 4471111158 6706666737 7451851930 8942222316 11177777895 13413333474 14903703860 18629629825 20120000211 22355555790 26826666948 33533333685 37259259650 40240000422 44711111580 55888889475 67066667370 74518519300 80480000844 100600001055 111777778950 134133334740 167666668425 201200002110 223555557900 335333336850 402400004220 503000005275 670666673700 1006000010550 2012000021100