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131204024000100 = 22335248594082963
BaseRepresentation
bin11101110101010001010001…
…001111100101111001100100
3122012112222112000120210011000
4131311101101033211321210
5114144121320121000400
61143014144014513300
736431115011640312
oct3565212117457144
9565488460523130
10131204024000100
1138895350080137
1212870276205830
13582964274562c
142458446cc70b2
151027db769a600
hex7754513e5e64

131204024000100 has 72 divisors (see below), whose sum is σ = 421796640127520. Its totient is φ = 34987739732640.

The previous prime is 131204024000081. The next prime is 131204024000107. The reversal of 131204024000100 is 1000420402131.

131204024000100 is a `hidden beast` number, since 1 + 3 + 120 + 40 + 2 + 400 + 0 + 100 = 666.

131204024000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131204024000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24297038782 + ... + 24297044181.

Almost surely, 2131204024000100 is an apocalyptic number.

131204024000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131204024000100 is an abundant number, since it is smaller than the sum of its proper divisors (290592616127420).

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

131204024000100 is a wasteful number, since it uses less digits than its factorization.

131204024000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48594082986 (or 48594082973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131204024000100 its reverse (1000420402131), we get a palindrome (132204444402231).

The spelling of 131204024000100 in words is "one hundred thirty-one trillion, two hundred four billion, twenty-four million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 48594082963 97188165926 145782248889 194376331852 242970414815 291564497778 437346746667 485940829630 583128995556 728911244445 874693493334 971881659260 1214852074075 1312040240001 1457822488890 1749386986668 2186733733335 2429704148150 2624080480002 2915644977780 3644556222225 4373467466670 4859408296300 5248160960004 6560201200005 7289112444450 8746934933340 10933668666675 13120402400010 14578224888900 21867337333350 26240804800020 32801006000025 43734674666700 65602012000050 131204024000100