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543141110020 = 225173767364153
BaseRepresentation
bin1111110011101011011…
…10111010000100000100
31220220221102211011122011
413321311232322010010
532344323111010040
61053303210544004
754145354155325
oct7716556720404
91826842734564
10543141110020
1119a387aa6a33
1289320a38004
133c2aabc0202
141c406a4a44c
15e1dd2843ea
hex7e75bba104

543141110020 has 96 divisors (see below), whose sum is σ = 1242192859488. Its totient is φ = 198651543552.

The previous prime is 543141109999. The next prime is 543141110041. The reversal of 543141110020 is 20011141345.

It is an interprime number because it is at equal distance from previous prime (543141109999) and next prime (543141110041).

It can be written as a sum of positive squares in 16 ways, for example, as 15318517824 + 527822592196 = 123768^2 + 726514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 543141109973 and 543141110000.

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, 8434264 + ... + 8498416.

It is an arithmetic number, because the mean of its divisors is an integer number (12939508953).

Almost surely, 2543141110020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543141110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621096429744).

543141110020 is an abundant number, since it is smaller than the sum of its proper divisors (699051749468).

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

543141110020 is a wasteful number, since it uses less digits than its factorization.

543141110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64889 (or 64887 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 543141110020 its reverse (20011141345), we get a palindrome (563152251365).

The spelling of 543141110020 in words is "five hundred forty-three billion, one hundred forty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 673 740 1258 1346 2516 2692 3145 3365 6290 6730 11441 12580 13460 22882 24901 45764 49802 57205 64153 99604 114410 124505 128306 228820 249010 256612 320765 423317 498020 641530 846634 1090601 1283060 1693268 2116585 2181202 2373661 4233170 4362404 4747322 5453005 8466340 9494644 10906010 11868305 21812020 23736610 40352237 43174969 47473220 80704474 86349938 161408948 172699876 201761185 215874845 403522370 431749690 733974473 807044740 863499380 1467948946 1597473853 2935897892 3194947706 3669872365 6389895412 7339744730 7987369265 14679489460 15974738530 27157055501 31949477060 54314111002 108628222004 135785277505 271570555010 543141110020