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143034010020 = 2232511151147809
BaseRepresentation
bin1000010100110101111…
…1011100100110100100
3111200012021201120001200
42011031133130212210
54320413201310040
6145413043122500
713222342011366
oct2051537344644
9450167646050
10143034010020
1155729a73840
1223879973430
13106463237b5
146ccc568d36
153ac2282630
hex214d7dc9a4

143034010020 has 144 divisors (see below), whose sum is σ = 473635693440. Its totient is φ = 34651238400.

The previous prime is 143034010019. The next prime is 143034010079. The reversal of 143034010020 is 20010430341.

143034010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 143034009975 and 143034010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2967876 + ... + 3015684.

It is an arithmetic number, because the mean of its divisors is an integer number (3289136760).

Almost surely, 2143034010020 is an apocalyptic number.

143034010020 is a gapful number since it is divisible by the number (10) 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 143034010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236817846720).

143034010020 is an abundant number, since it is smaller than the sum of its proper divisors (330601683420).

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

143034010020 is a wasteful number, since it uses less digits than its factorization.

143034010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49346 (or 49341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 143034010020 its reverse (20010430341), we get a palindrome (163044440361).

The spelling of 143034010020 in words is "one hundred forty-three billion, thirty-four million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1511 1980 3022 4533 6044 7555 9066 13599 15110 16621 18132 22665 27198 30220 33242 45330 47809 49863 54396 66484 67995 83105 90660 95618 99726 135990 143427 149589 166210 191236 199452 239045 249315 271980 286854 299178 332420 430281 478090 498630 525899 573708 598356 717135 747945 860562 956180 997260 1051798 1434270 1495890 1577697 1721124 2103596 2151405 2629495 2868540 2991780 3155394 4302810 4733091 5258990 6310788 7888485 8605620 9466182 10517980 15776970 18932364 23665455 31553940 47330910 72239399 94661820 144478798 216718197 288957596 361196995 433436394 650154591 722393990 794633389 866872788 1083590985 1300309182 1444787980 1589266778 2167181970 2383900167 2600618364 3178533556 3250772955 3973166945 4334363940 4767800334 6501545910 7151700501 7946333890 9535600668 11919500835 13003091820 14303401002 15892667780 23839001670 28606802004 35758502505 47678003340 71517005010 143034010020