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131230552320 = 28325767107227
BaseRepresentation
bin111101000110111110…
…0110101000100000000
3110112201200102210001200
41322031330311010000
54122230010133240
6140141514101200
712324005201310
oct1721574650400
9415650383050
10131230552320
115072225331a
1221524a1a800
13c4b4b054ba
1464ccaad440
153630dd6930
hex1e8df35100

131230552320 has 864 divisors, whose sum is σ = 533916085248. Its totient is φ = 29142761472.

The previous prime is 131230552309. The next prime is 131230552331. The reversal of 131230552320 is 23255032131.

It is a happy number.

131230552320 is a `hidden beast` number, since 1 + 31 + 2 + 305 + 5 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (131230552309) and next prime (131230552331).

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 95 ways as a sum of consecutive naturals, for example, 578108047 + ... + 578108273.

It is an arithmetic number, because the mean of its divisors is an integer number (617958432).

Almost surely, 2131230552320 is an apocalyptic number.

131230552320 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 131230552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266958042624).

131230552320 is an abundant number, since it is smaller than the sum of its proper divisors (402685532928).

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

131230552320 is a wasteful number, since it uses less digits than its factorization.

131230552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 131230552320 its reverse (23255032131), we get a palindrome (154485584451).

The spelling of 131230552320 in words is "one hundred thirty-one billion, two hundred thirty million, five hundred fifty-two thousand, three hundred twenty".