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131011443000 = 23325310121427
BaseRepresentation
bin111101000000011100…
…0111111100100111000
3110112011102010212120200
41322000320333210320
54121302412134000
6140104045522200
712315404614524
oct1720070774470
9415142125520
10131011443000
115061a5a9239
1221483573360
13c47b5ba309
1464ab954d84
15361ba55500
hex1e80e3f938

131011443000 has 288 divisors, whose sum is σ = 447559847280. Its totient is φ = 34566240000.

The previous prime is 131011442977. The next prime is 131011443029. The reversal of 131011443000 is 344110131.

131011443000 is a `hidden beast` number, since 1 + 310 + 11 + 44 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 91808287 + ... + 91809713.

Almost surely, 2131011443000 is an apocalyptic number.

131011443000 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 131011443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223779923640).

131011443000 is an abundant number, since it is smaller than the sum of its proper divisors (316548404280).

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

131011443000 is a wasteful number, since it uses less digits than its factorization.

131011443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131011443000 its reverse (344110131), we get a palindrome (131355553131).

The spelling of 131011443000 in words is "one hundred thirty-one billion, eleven million, four hundred forty-three thousand".