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141001200 = 24325253739
BaseRepresentation
bin10000110011110…
…00000111110000
3100211022121021200
420121320013300
5242044014300
621554051200
73331330134
oct1031700760
9324277250
10141001200
117265631a
123b279b00
132329ac82
1414a253c4
15c5a3200
hex86781f0

141001200 has 180 divisors, whose sum is σ = 499220280. Its totient is φ = 36840960.

The previous prime is 141001193. The next prime is 141001241. The reversal of 141001200 is 2100141.

It is a happy number.

141001200 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 (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190431 + ... + 191169.

It is an arithmetic number, because the mean of its divisors is an integer number (2773446).

Almost surely, 2141001200 is an apocalyptic number.

141001200 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 141001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249610140).

141001200 is an abundant number, since it is smaller than the sum of its proper divisors (358219080).

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

141001200 is a wasteful number, since it uses less digits than its factorization.

141001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 141001200 is about 11874.3926160457. The cubic root of 141001200 is about 520.4842628821.

Adding to 141001200 its reverse (2100141), we get a palindrome (143101341).

The spelling of 141001200 in words is "one hundred forty-one million, one thousand, two hundred".