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141207211800 = 233252299372887
BaseRepresentation
bin1000001110000010011…
…0110000111100011000
3111111110222021121000100
42003200212300330120
54303143021234200
6144511504335400
713126150332144
oct2034046607430
9444428247010
10141207211800
1154981876246
122344a014560
1310414a0cbc5
146b97ab8224
153a16bd3d00
hex20e09b0f18

141207211800 has 288 divisors, whose sum is σ = 491266994400. Its totient is φ = 36305418240.

The previous prime is 141207211729. The next prime is 141207211813. The reversal of 141207211800 is 8112702141.

141207211800 is a `hidden beast` number, since 1 + 412 + 0 + 72 + 1 + 180 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48909957 + ... + 48912843.

It is an arithmetic number, because the mean of its divisors is an integer number (1705788175).

Almost surely, 2141207211800 is an apocalyptic number.

141207211800 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 141207211800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245633497200).

141207211800 is an abundant number, since it is smaller than the sum of its proper divisors (350059782600).

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

141207211800 is a wasteful number, since it uses less digits than its factorization.

141207211800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 141207211800 its reverse (8112702141), we get a palindrome (149319913941).

The spelling of 141207211800 in words is "one hundred forty-one billion, two hundred seven million, two hundred eleven thousand, eight hundred".