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20331211200 = 26352174159103
BaseRepresentation
bin10010111011110101…
…011010100111000000
31221110220202112121020
4102323311122213000
5313114242224300
613201240225440
71316553305136
oct227365324700
957426675536
1020331211200
118693490993
123b34a6b280
131bc01b2ab1
14dac2a1756
157ded928a0
hex4bbd5a9c0

20331211200 has 672 divisors, whose sum is σ = 74290245120. Its totient is φ = 4846387200.

The previous prime is 20331211181. The next prime is 20331211207. The reversal of 20331211200 is 211213302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20331211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331211207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197390349 + ... + 197390451.

It is an arithmetic number, because the mean of its divisors is an integer number (110550960).

Almost surely, 220331211200 is an apocalyptic number.

20331211200 is a gapful number since it is divisible by the number (20) 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 20331211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37145122560).

20331211200 is an abundant number, since it is smaller than the sum of its proper divisors (53959033920).

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

20331211200 is a wasteful number, since it uses less digits than its factorization.

20331211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20331211200 its reverse (211213302), we get a palindrome (20542424502).

The spelling of 20331211200 in words is "twenty billion, three hundred thirty-one million, two hundred eleven thousand, two hundred".