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20334001200 = 2435237538641
BaseRepresentation
bin10010111100000000…
…000011110000110000
31221111010000021202120
4102330000003300300
5313121001014300
613201420114240
71316616105222
oct227400036060
957433007676
1020334001200
118695017077
123b35995980
131bc094b996
14dac7ca412
157e02443a0
hex4bc003c30

20334001200 has 240 divisors, whose sum is σ = 68167128096. Its totient is φ = 5175705600.

The previous prime is 20334001187. The next prime is 20334001201. The reversal of 20334001200 is 210043302.

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 20334001200.

It is not an unprimeable number, because it can be changed into a prime (20334001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2348880 + ... + 2357520.

Almost surely, 220334001200 is an apocalyptic number.

20334001200 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 20334001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34083564048).

20334001200 is an abundant number, since it is smaller than the sum of its proper divisors (47833126896).

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

20334001200 is a wasteful number, since it uses less digits than its factorization.

20334001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20334001200 its reverse (210043302), we get a palindrome (20544044502).

The spelling of 20334001200 in words is "twenty billion, three hundred thirty-four million, one thousand, two hundred".