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131303143441332 = 22336010120228779
BaseRepresentation
bin11101110110101101100101…
…001110010000001110110100
3122012220110100211022002212000
4131312231211032100032310
5114202232314210110312
61143131455324255300
736441224204201142
oct3566554516201664
9565813324262760
10131303143441332
1138923394452415
12128875190a1530
135835aaa9a7685
14245d16b00c592
15102a769448adc
hex776b653903b4

131303143441332 has 48 divisors (see below), whose sum is σ = 340421237956800. Its totient is φ = 43766984080800.

The previous prime is 131303143441291. The next prime is 131303143441361. The reversal of 131303143441332 is 233144341303131.

131303143441332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 314 + 3 + 4 + 4 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623482 + ... + 16605297.

It is an arithmetic number, because the mean of its divisors is an integer number (7092109124100).

Almost surely, 2131303143441332 is an apocalyptic number.

131303143441332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303143441332 is an abundant number, since it is smaller than the sum of its proper divisors (209118094515468).

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

131303143441332 is a wasteful number, since it uses less digits than its factorization.

131303143441332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20288893 (or 20288885 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 131303143441332 its reverse (233144341303131), we get a palindrome (364447484744463).

The spelling of 131303143441332 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred forty-three million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 60101 120202 180303 240404 360606 540909 721212 1081818 1622727 2163636 3245454 6490908 20228779 40457558 60686337 80915116 121372674 182059011 242745348 364118022 546177033 728236044 1092354066 2184708132 1215769846679 2431539693358 3647309540037 4863079386716 7294619080074 10941928620111 14589238160148 21883857240222 32825785860333 43767714480444 65651571720666 131303143441332