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131115030000 = 2435411338677
BaseRepresentation
bin111101000011100010…
…0001001010111110000
3110112102122001122020020
41322013010021113300
54122010421430000
6140122230043440
712321103236453
oct1720704112760
9415378048206
10131115030000
115067301a729
12214b21a9580
13c496bb86b6
1464bb5db49a
153625bb7ba0
hex1e871095f0

131115030000 has 200 divisors, whose sum is σ = 427013474448. Its totient is φ = 34653696000.

The previous prime is 131115029963. The next prime is 131115030089. The reversal of 131115030000 is 30511131.

131115030000 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 (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3370662 + ... + 3409338.

Almost surely, 2131115030000 is an apocalyptic number.

131115030000 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 131115030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213506737224).

131115030000 is an abundant number, since it is smaller than the sum of its proper divisors (295898444448).

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

131115030000 is a wasteful number, since it uses less digits than its factorization.

131115030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38821 (or 38800 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

Adding to 131115030000 its reverse (30511131), we get a palindrome (131145541131).

The spelling of 131115030000 in words is "one hundred thirty-one billion, one hundred fifteen million, thirty thousand".