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20055301200 = 2432521117313
BaseRepresentation
bin10010101011011000…
…111001110001010000
31220202200120212020100
4102223120321301100
5312033124114300
613114022412400
71306663150614
oct225330716120
956680525210
1020055301200
1185617706a0
123a78591100
131b77c9ac3c
14d8379d344
157c5a41700
hex4ab639c50

20055301200 has 720 divisors, whose sum is σ = 83070254592. Its totient is φ = 4428288000.

The previous prime is 20055301199. The next prime is 20055301297. The reversal of 20055301200 is 210355002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646945185 + ... + 646945215.

Almost surely, 220055301200 is an apocalyptic number.

20055301200 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 20055301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41535127296).

20055301200 is an abundant number, since it is smaller than the sum of its proper divisors (63014953392).

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

20055301200 is a wasteful number, since it uses less digits than its factorization.

20055301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 20055301200 its reverse (210355002), we get a palindrome (20265656202).

The spelling of 20055301200 in words is "twenty billion, fifty-five million, three hundred one thousand, two hundred".