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2000123230320 = 243351091848747
BaseRepresentation
bin11101000110110000101…
…000100111100001110000
321002012200000201121012000
4131012300220213201300
5230232223021332240
64130502142134000
7264334626642105
oct35066050474160
97065600647160
102000123230320
1170127a469626
12283779281300
131167c2c4c717
146cb40daaaac
1537063c20430
hex1d1b0a27870

2000123230320 has 160 divisors (see below), whose sum is σ = 6895636151040. Its totient is φ = 532876688640.

The previous prime is 2000123230307. The next prime is 2000123230331. The reversal of 2000123230320 is 230323210002.

It is a happy number.

2000123230320 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 2 + 323 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000123230293 and 2000123230302.

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, 1932187 + ... + 2780933.

It is an arithmetic number, because the mean of its divisors is an integer number (43097725944).

Almost surely, 22000123230320 is an apocalyptic number.

2000123230320 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 2000123230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447818075520).

2000123230320 is an abundant number, since it is smaller than the sum of its proper divisors (4895512920720).

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

2000123230320 is a wasteful number, since it uses less digits than its factorization.

2000123230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849860 (or 849848 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2000123230320 its reverse (230323210002), we get a palindrome (2230446440322).

The spelling of 2000123230320 in words is "two trillion, one hundred twenty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1091 2160 2182 3273 4364 5455 6546 8728 9819 10910 13092 16365 17456 19638 21820 26184 29457 32730 39276 43640 49095 52368 58914 65460 78552 87280 98190 117828 130920 147285 157104 196380 235656 261840 294570 392760 471312 589140 785520 848747 1178280 1697494 2356560 2546241 3394988 4243735 5092482 6789976 7638723 8487470 10184964 12731205 13579952 15277446 16974940 20369928 22916169 25462410 30554892 33949880 38193615 40739856 45832338 50924820 61109784 67899760 76387230 91664676 101849640 114580845 122219568 152774460 183329352 203699280 229161690 305548920 366658704 458323380 611097840 916646760 925982977 1833293520 1851965954 2777948931 3703931908 4629914885 5555897862 7407863816 8333846793 9259829770 11111795724 13889744655 14815727632 16667693586 18519659540 22223591448 25001540379 27779489310 33335387172 37039319080 41669233965 44447182896 50003080758 55558978620 66670774344 74078638160 83338467930 100006161516 111117957240 125007701895 133341548688 166676935860 200012323032 222235914480 250015403790 333353871720 400024646064 500030807580 666707743440 1000061615160 2000123230320