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131320652544 = 283513915187
BaseRepresentation
bin111101001001101010…
…0100010001100000000
3110112221221222100100000
41322103110202030000
54122421041340134
6140154453200000
712326151062214
oct1722324421400
9415857870300
10131320652544
11507690a2a14
122154b030000
13c4ca690c43
1464daa44944
153638c82e99
hex1e93522300

131320652544 has 216 divisors, whose sum is σ = 395504025280. Its totient is φ = 43455771648.

The previous prime is 131320652543. The next prime is 131320652549. The reversal of 131320652544 is 445256023131.

131320652544 is a `hidden beast` number, since 1 + 31 + 3 + 20 + 65 + 2 + 544 = 666.

131320652544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1313206525442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131320652499 and 131320652508.

It is not an unprimeable number, because it can be changed into a prime (131320652543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8639319 + ... + 8654505.

Almost surely, 2131320652544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197752012640).

131320652544 is an abundant number, since it is smaller than the sum of its proper divisors (264183372736).

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

131320652544 is an equidigital number, since it uses as much as digits as its factorization.

131320652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15357 (or 15331 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131320652544 its reverse (445256023131), we get a palindrome (576576675675).

The spelling of 131320652544 in words is "one hundred thirty-one billion, three hundred twenty million, six hundred fifty-two thousand, five hundred forty-four".