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20311321200 = 24352173133181
BaseRepresentation
bin10010111010101001…
…100010101001110000
31221102112100000122120
4102322221202221300
5313044144234300
613155250034240
71316222244612
oct227251425160
957375300576
1020311321200
118683236275
123b2a278980
131bb903a771
14da97a4db2
157dd2643a0
hex4baa62a70

20311321200 has 240 divisors, whose sum is σ = 69133048416. Its totient is φ = 5079859200.

The previous prime is 20311321189. The next prime is 20311321253. The reversal of 20311321200 is 212311302.

It is a tau number, because it is divible by the number of its divisors (240).

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 20311321200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6383610 + ... + 6386790.

Almost surely, 220311321200 is an apocalyptic number.

20311321200 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 20311321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34566524208).

20311321200 is an abundant number, since it is smaller than the sum of its proper divisors (48821727216).

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

20311321200 is a wasteful number, since it uses less digits than its factorization.

20311321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3521 counting only the distinct ones).

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

Adding to 20311321200 its reverse (212311302), we get a palindrome (20523632502).

It can be divided in two parts, 2031 and 1321200, that added together give a palindrome (1323231).

The spelling of 20311321200 in words is "twenty billion, three hundred eleven million, three hundred twenty-one thousand, two hundred".