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20311020000 = 253354291297
BaseRepresentation
bin10010111010101000…
…011001000111100000
31221102111202201111000
4102322220121013200
5313044110120000
613155235352000
71316216551515
oct227250310740
957374681430
1020311020000
11868304aa47
123b2a152600
131bb8c6363b
14da972730c
157dd205000
hex4baa191e0

20311020000 has 480 divisors, whose sum is σ = 76638592800. Its totient is φ = 5225472000.

The previous prime is 20311019999. The next prime is 20311020031. The reversal of 20311020000 is 2011302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 15659352 + ... + 15660648.

It is an arithmetic number, because the mean of its divisors is an integer number (159663735).

Almost surely, 220311020000 is an apocalyptic number.

20311020000 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 20311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319296400).

20311020000 is an abundant number, since it is smaller than the sum of its proper divisors (56327572800).

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

20311020000 is a wasteful number, since it uses less digits than its factorization.

20311020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20311020000 its reverse (2011302), we get a palindrome (20313031302).

The spelling of 20311020000 in words is "twenty billion, three hundred eleven million, twenty thousand".