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53101332100242 = 232316713731034489
BaseRepresentation
bin11000001001011100111100…
…00010010111010010010010
320222000102211010122120211200
430010232132002113102102
523430003012004201432
6304534225403252030
714120305340340666
oct1404563602272222
9228012733576750
1053101332100242
1115a1316a692558
125b5748881a016
132382584a294ba
14d1819243a8a6
1562144a51ea7c
hex304b9e097492

53101332100242 has 96 divisors (see below), whose sum is σ = 120624778160640. Its totient is φ = 16861492327680.

The previous prime is 53101332100199. The next prime is 53101332100253. The reversal of 53101332100242 is 24200123310135.

53101332100242 is a `hidden beast` number, since 5 + 310 + 1 + 3 + 3 + 2 + 100 + 242 = 666.

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, 50813734 + ... + 51848222.

It is an arithmetic number, because the mean of its divisors is an integer number (1256508105840).

Almost surely, 253101332100242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53101332100242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60312389080320).

53101332100242 is an abundant number, since it is smaller than the sum of its proper divisors (67523446060398).

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

53101332100242 is a wasteful number, since it uses less digits than its factorization.

53101332100242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035968 (or 1035965 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 53101332100242 its reverse (24200123310135), we get a palindrome (77301455410377).

The spelling of 53101332100242 in words is "fifty-three trillion, one hundred one billion, three hundred thirty-two million, one hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 279 402 558 603 1206 1373 2077 2746 4119 4154 6231 8238 12357 12462 18693 24714 37386 42563 85126 91991 127689 183982 255378 275973 383067 551946 766134 827919 1034489 1655838 2068978 2851721 3103467 5703442 6206934 8555163 9310401 17110326 18620802 25665489 32069159 51330978 64138318 69310763 96207477 138621526 192414954 207932289 288622431 415864578 577244862 623796867 1247593734 1420353397 2148633653 2840706794 4261060191 4297267306 6445900959 8522120382 12783180573 12891801918 19337702877 25566361146 38675405754 44030955307 88061910614 95163677599 132092865921 190327355198 264185731842 285491032797 396278597763 570982065594 792557195526 856473098391 1712946196782 2950074005569 5900148011138 8850222016707 17700444033414 26550666050121 53101332100242