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131300112000 = 2735317160907
BaseRepresentation
bin111101001001000011…
…0001011011010000000
3110112220112022210000010
41322102012023122000
54122400312041000
6140152441024520
712325511352231
oct1722206133200
9415815283003
10131300112000
1150758543562
1221544185140
13c4c634b785
1464d8019088
153637076d50
hex1e9218b680

131300112000 has 256 divisors, whose sum is σ = 460866257280. Its totient is φ = 32953548800.

The previous prime is 131300111989. The next prime is 131300112067. The reversal of 131300112000 is 211003131.

It is a super-2 number, since 2×1313001120002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735547 + ... + 896453.

Almost surely, 2131300112000 is an apocalyptic number.

131300112000 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 131300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230433128640).

131300112000 is an abundant number, since it is smaller than the sum of its proper divisors (329566145280).

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

131300112000 is a wasteful number, since it uses less digits than its factorization.

131300112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160956 (or 160934 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131300112000 its reverse (211003131), we get a palindrome (131511115131).

The spelling of 131300112000 in words is "one hundred thirty-one billion, three hundred million, one hundred twelve thousand".