Search a number
-
+
541203013431020 = 22589223222926699
BaseRepresentation
bin111101100001110001010010…
…1010111011110111011101100
32121222020111120112111220221202
41323003202211113132323230
51031414032232414243040
65155013122042545032
7221665425123456563
oct17303424527367354
92558214515456852
10541203013431020
111474979aaa48296
125084892a208178
131a2ca2c0950b15
149790519360bda
154287debb4e015
hex1ec38a55deeec

541203013431020 has 144 divisors (see below), whose sum is σ = 1159557989940000. Its totient is φ = 212150506208256.

The previous prime is 541203013431013. The next prime is 541203013431023. The reversal of 541203013431020 is 20134310302145.

It is not an unprimeable number, because it can be changed into a prime (541203013431023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20270521631 + ... + 20270548329.

It is an arithmetic number, because the mean of its divisors is an integer number (8052486041250).

Almost surely, 2541203013431020 is an apocalyptic number.

It is an amenable number.

541203013431020 is an abundant number, since it is smaller than the sum of its proper divisors (618354976508980).

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

541203013431020 is a wasteful number, since it uses less digits than its factorization.

541203013431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27472 (or 27247 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 541203013431020 its reverse (20134310302145), we get a palindrome (561337323733165).

The spelling of 541203013431020 in words is "five hundred forty-one trillion, two hundred three billion, thirteen million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 223 229 356 445 446 458 890 892 916 1115 1145 1780 2230 2290 4460 4580 19847 20381 26699 39694 40762 49729 51067 53398 79388 81524 99235 99458 101905 102134 106796 133495 198470 198916 203810 204268 248645 255335 266990 396940 407620 497290 510670 533980 994580 1021340 2376211 4425881 4544963 4752422 5953877 6114071 8851762 9089926 9504844 11387941 11881055 11907754 12228142 17703524 18179852 22129405 22724815 22775882 23762110 23815508 24456284 29769385 30570355 44258810 45449630 45551764 47524220 56939705 59538770 61140710 88517620 90899260 113879410 119077540 122281420 227758820 529895053 544152319 1013526749 1059790106 1088304638 1327714571 1363437833 2027053498 2119580212 2176609276 2649475265 2655429142 2720761595 2726875666 4054106996 5067633745 5298950530 5310858284 5441523190 5453751332 6638572855 6817189165 10135267490 10597901060 10883046380 13277145710 13634378330 20270534980 26554291420 27268756660 118166596819 121345967137 236333193638 242691934274 304046636759 472666387276 485383868548 590832984095 606729835685 608093273518 1181665968190 1213459671370 1216186547036 1520233183795 2363331936380 2426919342740 3040466367590 6080932735180 27060150671551 54120301343102 108240602686204 135300753357755 270601506715510 541203013431020