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131300926416 = 2432112233311123
BaseRepresentation
bin111101001001000100…
…1010010001111010000
3110112220120212011011200
41322102021102033100
54122401014121131
6140152510311200
712325521313512
oct1722211221720
9415816764150
10131300926416
1150758a4a430
12215444b8500
13c4c657538a
1464d818bbb2
1536371882e6
hex1e922523d0

131300926416 has 240 divisors, whose sum is σ = 404239460352. Its totient is φ = 39454905600.

The previous prime is 131300926411. The next prime is 131300926441. The reversal of 131300926416 is 614629003131.

131300926416 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 0 + 9 + 2 + 641 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300926411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116919231 + ... + 116920353.

Almost surely, 2131300926416 is an apocalyptic number.

131300926416 is a gapful number since it is divisible by the number (16) 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 131300926416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202119730176).

131300926416 is an abundant number, since it is smaller than the sum of its proper divisors (272938533936).

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

131300926416 is a wasteful number, since it uses less digits than its factorization.

131300926416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 131300926416 its reverse (614629003131), we get a palindrome (745929929547).

The spelling of 131300926416 in words is "one hundred thirty-one billion, three hundred million, nine hundred twenty-six thousand, four hundred sixteen".