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131311044405225 = 32521930716033779
BaseRepresentation
bin11101110110110100111100…
…001010000010011111101001
3122012221012202110100122202100
4131312310330022002133221
5114202400004331431400
61143135243325324013
736441624043242246
oct3566647412023751
9565835673318670
10131311044405225
1138926779327543
1212888b63106609
135836769853939
14245d6ba4965cd
15102aa7cdd0100
hex776d3c2827e9

131311044405225 has 36 divisors (see below), whose sum is σ = 247571232266800. Its totient is φ = 66346632960480.

The previous prime is 131311044405209. The next prime is 131311044405241. The reversal of 131311044405225 is 522504440113131.

131311044405225 is a `hidden beast` number, since 1 + 3 + 13 + 1 + 10 + 4 + 4 + 405 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (131311044405209) and next prime (131311044405241).

It is not a de Polignac number, because 131311044405225 - 24 = 131311044405209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131311044405225.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15358012615 + ... + 15358021164.

Almost surely, 2131311044405225 is an apocalyptic number.

131311044405225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131311044405225 is a deficient number, since it is larger than the sum of its proper divisors (116260187861575).

131311044405225 is a wasteful number, since it uses less digits than its factorization.

131311044405225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30716033814 (or 30716033806 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131311044405225 its reverse (522504440113131), we get a palindrome (653815484518356).

The spelling of 131311044405225 in words is "one hundred thirty-one trillion, three hundred eleven billion, forty-four million, four hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 30716033779 92148101337 153580168895 276444304011 460740506685 583604641801 767900844475 1382221520055 1750813925403 2303702533425 2918023209005 5252441776209 6911107600275 8754069627015 14590116045025 26262208881045 43770348135075 131311044405225