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105540101424 = 24323072387353
BaseRepresentation
bin110001001001010101…
…1100010010100110000
3101002102021022122200100
41202102223202110300
53212121231221144
6120252350352400
710424245026462
oct1422253422460
9332367278610
10105540101424
11408396aa31a
12185551bb700
139c4c524174
145172b56132
152b2a7cb269
hex1892ae2530

105540101424 has 60 divisors (see below), whose sum is σ = 296327927896. Its totient is φ = 35065426176.

The previous prime is 105540101413. The next prime is 105540101453. The reversal of 105540101424 is 424101045501.

105540101424 is a `hidden beast` number, since 1 + 0 + 554 + 0 + 101 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1055401014242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149469 + ... + 1237884.

Almost surely, 2105540101424 is an apocalyptic number.

It is an amenable number.

105540101424 is an abundant number, since it is smaller than the sum of its proper divisors (190787826472).

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

105540101424 is a wasteful number, since it uses less digits than its factorization.

105540101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387674 (or 2387665 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105540101424 its reverse (424101045501), we get a palindrome (529641146925).

The spelling of 105540101424 in words is "one hundred five billion, five hundred forty million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 2387353 4774706 7162059 9549412 14324118 19098824 21486177 28648236 38197648 42972354 57296472 85944708 114592944 171889416 343778832 732917371 1465834742 2198752113 2931669484 4397504226 5863338968 6596256339 8795008452 11726677936 13192512678 17590016904 26385025356 35180033808 52770050712 105540101424