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241312232104020 = 2232571117410694957
BaseRepresentation
bin110110110111100011100001…
…110111111110000001010100
31011122102020001100202210022200
4312313203201313332001110
5223112124422404312040
62213121150425524500
7101554143032254620
oct6667434167760124
91148366040683280
10241312232104020
116a986a41031390
1223093b16343730
13a485851c0043c
144383808044180
151cd71419ed630
hexdb78e1dfe054

241312232104020 has 144 divisors (see below), whose sum is σ = 912598986918528. Its totient is φ = 50142801473280.

The previous prime is 241312232103991. The next prime is 241312232104079. The reversal of 241312232104020 is 20401232213142.

241312232104020 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 12 + 232 + 10 + 402 + 0 = 666.

It is a super-2 number, since 2×2413122321040202 (a number of 30 digits) contains 22 as substring.

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, 8705333619 + ... + 8705361338.

It is an arithmetic number, because the mean of its divisors is an integer number (6337492964712).

Almost surely, 2241312232104020 is an apocalyptic number.

241312232104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241312232104020 is an abundant number, since it is smaller than the sum of its proper divisors (671286754814508).

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

241312232104020 is a wasteful number, since it uses less digits than its factorization.

241312232104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410694990 (or 17410694985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 241312232104020 its reverse (20401232213142), we get a palindrome (261713464317162).

The spelling of 241312232104020 in words is "two hundred forty-one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 17410694957 34821389914 52232084871 69642779828 87053474785 104464169742 121874864699 156696254613 174106949570 191517644527 208928339484 243749729398 261160424355 313392509226 348213899140 365624594097 383035289054 487499458796 522320848710 574552933581 609374323495 626785018452 731249188194 766070578108 783481273065 957588222635 1044641697420 1096873782291 1149105867162 1218748646990 1340623511689 1462498376388 1566962546130 1723658800743 1828122970485 1915176445270 2193747564582 2298211734324 2437497293980 2681247023378 2872764667905 3133925092260 3447317601486 3656245940970 3830352890540 4021870535067 4387495129164 5362494046756 5484368911455 5745529335810 6703117558445 6894635202972 7312491881940 8043741070134 8618294003715 10968737822910 11491058671620 12065611605201 13406235116890 16087482140268 17236588007430 20109352675335 21937475645820 24131223210402 26812470233780 34473176014860 40218705350670 48262446420804 60328058026005 80437410701340 120656116052010 241312232104020