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131220000 = 253854
BaseRepresentation
bin1111101001001…
…00001000100000
3100010220200000000
413310210020200
5232043020000
621004300000
73152231412
oct764441040
9303820000
10131220000
116808558a
1237b41600
1321254b92
14135da9b2
15b7c0000
hex7d24220

131220000 has 270 divisors, whose sum is σ = 484206723. Its totient is φ = 34992000.

The previous prime is 131219989. The next prime is 131220017. The reversal of 131220000 is 22131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 30338064 + 100881936 = 5508^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8100.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26243998 + ... + 26244002.

Almost surely, 2131220000 is an apocalyptic number.

131220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220000

131220000 is an abundant number, since it is smaller than the sum of its proper divisors (352986723).

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

131220000 is an frugal number, since it uses more digits than its factorization.

131220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131220000 is about 11455.1298552221. The cubic root of 131220000 is about 508.1594555958.

Adding to 131220000 its reverse (22131), we get a palindrome (131242131).

It can be divided in two parts, 1312 and 20000, that added together give a palindrome (21312).

The spelling of 131220000 in words is "one hundred thirty-one million, two hundred twenty thousand".