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131300420 = 22537177433
BaseRepresentation
bin1111101001101…
…11110001000100
3100011001202022112
413310313301010
5232103103140
621010120152
73153015026
oct764676104
9304052275
10131300420
116812aa49
1237b80058
1321282674
141361c016
15b7d8c65
hex7d37c44

131300420 has 24 divisors (see below), whose sum is σ = 283184664. Its totient is φ = 51100416.

The previous prime is 131300417. The next prime is 131300437. The reversal of 131300420 is 24003131.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 125843524 = 2336^2 + 11218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131300395 and 131300404.

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, 87977 + ... + 89456.

It is an arithmetic number, because the mean of its divisors is an integer number (11799361).

Almost surely, 2131300420 is an apocalyptic number.

131300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131300420 is an abundant number, since it is smaller than the sum of its proper divisors (151884244).

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

131300420 is a wasteful number, since it uses less digits than its factorization.

131300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177479 (or 177477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131300420 is about 11458.6395353026. The cubic root of 131300420 is about 508.2632452564.

Adding to 131300420 its reverse (24003131), we get a palindrome (155303551).

The spelling of 131300420 in words is "one hundred thirty-one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 177433 354866 709732 887165 1774330 3548660 6565021 13130042 26260084 32825105 65650210 131300420