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143200653120 = 263257191732161
BaseRepresentation
bin1000010101011101101…
…1001000111101000000
3111200121220021220102100
42011113123020331000
54321233331344440
6145441354550400
713226434316340
oct2052733107500
9450556256370
10143200653120
1155805043208
1223905738400
13106719cbb95
146d06746d20
153ad1bed230
hex21576c8f40

143200653120 has 672 divisors, whose sum is σ = 596242932480. Its totient is φ = 30815354880.

The previous prime is 143200653107. The next prime is 143200653131. The reversal of 143200653120 is 21356002341.

143200653120 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 0 + 0 + 653 + 1 + 2 + 0 = 666.

143200653120 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 (672).

It is a super-5 number, since 5×1432006531205 (a number of 57 digits) contains 55555 as substring.

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 95 ways as a sum of consecutive naturals, for example, 66264840 + ... + 66267000.

Almost surely, 2143200653120 is an apocalyptic number.

143200653120 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 143200653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298121466240).

143200653120 is an abundant number, since it is smaller than the sum of its proper divisors (453042279360).

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

143200653120 is a wasteful number, since it uses less digits than its factorization.

143200653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 143200653120 its reverse (21356002341), we get a palindrome (164556655461).

The spelling of 143200653120 in words is "one hundred forty-three billion, two hundred million, six hundred fifty-three thousand, one hundred twenty".