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131224103040 = 273568345887
BaseRepresentation
bin111101000110110010…
…0001110100010000000
3110112201020022010022110
41322031210032202000
54122221332244130
6140141123535320
712323566320612
oct1721544164200
9415636263273
10131224103040
1150719648938
122152282a540
13c4b3687b64
1464cbcb0db2
153630560ab0
hex1e8d90e880

131224103040 has 64 divisors (see below), whose sum is σ = 418276834560. Its totient is φ = 34993093632.

The previous prime is 131224103033. The next prime is 131224103051. The reversal of 131224103040 is 40301422131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 131224102998 and 131224103016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34171024 + ... + 34174863.

It is an arithmetic number, because the mean of its divisors is an integer number (6535575540).

Almost surely, 2131224103040 is an apocalyptic number.

131224103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131224103040 is an abundant number, since it is smaller than the sum of its proper divisors (287052731520).

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

131224103040 is an equidigital number, since it uses as much as digits as its factorization.

131224103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68345909 (or 68345897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131224103040 its reverse (40301422131), we get a palindrome (171525525171).

The spelling of 131224103040 in words is "one hundred thirty-one billion, two hundred twenty-four million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 68345887 136691774 205037661 273383548 341729435 410075322 546767096 683458870 820150644 1025188305 1093534192 1366917740 1640301288 2050376610 2187068384 2733835480 3280602576 4100753220 4374136768 5467670960 6561205152 8201506440 8748273536 10935341920 13122410304 16403012880 21870683840 26244820608 32806025760 43741367680 65612051520 131224103040