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131820263700 = 22352439400879
BaseRepresentation
bin111101011000100011…
…0011001100100010100
3110121020210002012222220
41322301012121210110
54124431441414300
6140320221422340
712344425516416
oct1726106314424
9417223065886
10131820263700
11509a51141a4
122166a40a9b0
13c57a03b048
1465471389b6
153667a70da0
hex1eb1199914

131820263700 has 36 divisors (see below), whose sum is σ = 381399963840. Its totient is φ = 35152070240.

The previous prime is 131820263693. The next prime is 131820263713. The reversal of 131820263700 is 7362028131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219700140 + ... + 219700739.

It is an arithmetic number, because the mean of its divisors is an integer number (10594443440).

Almost surely, 2131820263700 is an apocalyptic number.

131820263700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131820263700 is an abundant number, since it is smaller than the sum of its proper divisors (249579700140).

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

131820263700 is a wasteful number, since it uses less digits than its factorization.

131820263700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439400896 (or 439400889 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 131820263700 in words is "one hundred thirty-one billion, eight hundred twenty million, two hundred sixty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439400879 878801758 1318202637 1757603516 2197004395 2636405274 4394008790 5272810548 6591013185 8788017580 10985021975 13182026370 21970043950 26364052740 32955065925 43940087900 65910131850 131820263700