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131200110000 = 2432544912969
BaseRepresentation
bin111101000110000100…
…0101100110110110000
3110112122120011011001100
41322030020230312300
54122144212010000
6140134505404400
712323155351221
oct1721410546660
9415576134040
10131200110000
1150707050583
1221516799700
13c4ab7070ab
1464c8a27248
15362d3c1a00
hex1e8c22cdb0

131200110000 has 300 divisors, whose sum is σ = 459915061320. Its totient is φ = 34903680000.

The previous prime is 131200109987. The next prime is 131200110017. The reversal of 131200110000 is 11002131.

It is a tau number, because it is divible by the number of its divisors (300).

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

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 59 ways as a sum of consecutive naturals, for example, 44188516 + ... + 44191484.

Almost surely, 2131200110000 is an apocalyptic number.

131200110000 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 131200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229957530660).

131200110000 is an abundant number, since it is smaller than the sum of its proper divisors (328714951320).

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

131200110000 is a wasteful number, since it uses less digits than its factorization.

131200110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131200110000 its reverse (11002131), we get a palindrome (131211112131).

The spelling of 131200110000 in words is "one hundred thirty-one billion, two hundred million, one hundred ten thousand".