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131132420300 = 22527250374843
BaseRepresentation
bin111101000100000011…
…0011111000011001100
3110112110211210011020102
41322020012133003030
54122024344422200
6140124050510232
712321404116160
oct1721006370314
9415424704212
10131132420300
1150681918282
12214b7b95378
13c49a69700b
1464bda46ca0
1536274a06d5
hex1e8819f0cc

131132420300 has 72 divisors (see below), whose sum is σ = 325342676736. Its totient is φ = 44941124160.

The previous prime is 131132420281. The next prime is 131132420303. The reversal of 131132420300 is 3024231131.

It is a super-3 number, since 3×1311324203003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131132420303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1714679 + ... + 1789521.

It is an arithmetic number, because the mean of its divisors is an integer number (4518648288).

Almost surely, 2131132420300 is an apocalyptic number.

131132420300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132420300 is an abundant number, since it is smaller than the sum of its proper divisors (194210256436).

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

131132420300 is a wasteful number, since it uses less digits than its factorization.

131132420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77367 (or 77360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131132420300 its reverse (3024231131), we get a palindrome (134156651431).

The spelling of 131132420300 in words is "one hundred thirty-one billion, one hundred thirty-two million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2503 5006 10012 12515 17521 25030 35042 50060 62575 70084 74843 87605 125150 149686 175210 250300 299372 350420 374215 438025 523901 748430 876050 1047802 1496860 1752100 1871075 2095604 2619505 3742150 5239010 7484300 10478020 13097525 26195050 52390100 187332029 374664058 749328116 936660145 1311324203 1873320290 2622648406 3746640580 4683300725 5245296812 6556621015 9366601450 13113242030 18733202900 26226484060 32783105075 65566210150 131132420300