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131288220320 = 255820551377
BaseRepresentation
bin111101001000101100…
…0110100001010100000
3110112212200221121200112
41322101120310022200
54122334241022240
6140151334110452
712325305313505
oct1722130641240
9415780847615
10131288220320
1150751861124
12215401ab428
13c4c3a46b8a
1464d66014ac
153635ec8665
hex1e916342a0

131288220320 has 24 divisors (see below), whose sum is σ = 310168420884. Its totient is φ = 52515288064.

The previous prime is 131288220299. The next prime is 131288220337. The reversal of 131288220320 is 23022882131.

It can be written as a sum of positive squares in 2 ways, for example, as 120539507344 + 10748712976 = 347188^2 + 103676^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410275529 + ... + 410275848.

Almost surely, 2131288220320 is an apocalyptic number.

131288220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131288220320 is an abundant number, since it is smaller than the sum of its proper divisors (178880200564).

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

131288220320 is an equidigital number, since it uses as much as digits as its factorization.

131288220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820551392 (or 820551384 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 131288220320 in words is "one hundred thirty-one billion, two hundred eighty-eight million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 820551377 1641102754 3282205508 4102756885 6564411016 8205513770 13128822032 16411027540 26257644064 32822055080 65644110160 131288220320