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131310210000 = 2435417733527
BaseRepresentation
bin111101001001010110…
…0101100101111010000
3110112221020022210212010
41322102230230233100
54122410403210000
6140153441302520
712325663240404
oct1722254545720
9415836283763
10131310210000
1150763210312
1221547634a40
13c4c8475b18
1464d94c7104
153637dbdd50
hex1e92b2cbd0

131310210000 has 400 divisors, whose sum is σ = 455098621824. Its totient is φ = 32495616000.

The previous prime is 131310209999. The next prime is 131310210007. The reversal of 131310210000 is 12013131.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37228237 + ... + 37231763.

Almost surely, 2131310210000 is an apocalyptic number.

131310210000 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 131310210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227549310912).

131310210000 is an abundant number, since it is smaller than the sum of its proper divisors (323788411824).

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

131310210000 is a wasteful number, since it uses less digits than its factorization.

131310210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3627 counting only the distinct ones).

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

Adding to 131310210000 its reverse (12013131), we get a palindrome (131322223131).

The spelling of 131310210000 in words is "one hundred thirty-one billion, three hundred ten million, two hundred ten thousand".