Search a number
-
+
2000000000020 = 2251122340938779
BaseRepresentation
bin11101000110101001010…
…010100010000000010100
321002012100102211211222211
4131012221102202000110
5230232000000000040
64130442021003204
7264331602335101
oct35065122420024
97065312754884
102000000000020
11701216950900
12283743b53504
131167a3564399
146cb2c88daa8
1537057ecc8ea
hex1d1a94a2014

2000000000020 has 144 divisors (see below), whose sum is σ = 4818973380480. Its totient is φ = 695402991360.

The previous prime is 2000000000003. The next prime is 2000000000123. The reversal of 2000000000020 is 200000000002.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1999999999919 and 2000000000009.

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, 227811991 + ... + 227820769.

It is an arithmetic number, because the mean of its divisors is an integer number (33465092920).

Almost surely, 22000000000020 is an apocalyptic number.

2000000000020 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 2000000000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409486690240).

2000000000020 is an abundant number, since it is smaller than the sum of its proper divisors (2818973380460).

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

2000000000020 is a wasteful number, since it uses less digits than its factorization.

2000000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12913 counting only the distinct ones).

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

Adding to 2000000000020 its reverse (200000000002), we get a palindrome (2200000000022).

The spelling of 2000000000020 in words is "two trillion, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 4093 5060 5566 8186 8779 11132 13915 16372 17558 20465 27830 35116 40930 43895 45023 55660 81860 87790 90046 94139 96569 175580 180092 188278 193138 201917 225115 376556 386276 403834 450230 470695 482845 495253 807668 900460 941390 965690 990506 1009585 1035529 1062259 1882780 1931380 1981012 2019170 2071058 2124518 2221087 2476265 4038340 4142116 4249036 4442174 4952530 5177645 5311295 8884348 9905060 10355290 10622590 11105435 11390819 20710580 21245180 22210870 22781638 24431957 35932447 44421740 45563276 48863914 56954095 71864894 97727828 113908190 122159785 143729788 179662235 227816380 244319570 359324470 395256917 488639140 718648940 790513834 826446281 1581027668 1652892562 1976284585 3305785124 3952569170 4132231405 4347826087 7905138340 8264462810 8695652174 9090909091 16528925620 17391304348 18181818182 21739130435 36363636364 43478260870 45454545455 86956521740 90909090910 100000000001 181818181820 200000000002 400000000004 500000000005 1000000000010 2000000000020