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21344330000 = 245471013019
BaseRepresentation
bin10011111000001110…
…001010000100010000
32001002112010022022202
4103320032022010100
5322203122030000
613445551022332
71353634545230
oct237016120420
961075108282
1021344330000
119063355054
12417820a9a8
132022064286
141066a65cc0
1584dcb5dd5
hex4f838a110

21344330000 has 200 divisors, whose sum is σ = 59663651520. Its totient is φ = 7243200000.

The previous prime is 21344329931. The next prime is 21344330003. The reversal of 21344330000 is 3344312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21344330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7068491 + ... + 7071509.

Almost surely, 221344330000 is an apocalyptic number.

21344330000 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 21344330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29831825760).

21344330000 is an abundant number, since it is smaller than the sum of its proper divisors (38319321520).

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

21344330000 is a wasteful number, since it uses less digits than its factorization.

21344330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 21344330000 its reverse (3344312), we get a palindrome (21347674312).

The spelling of 21344330000 in words is "twenty-one billion, three hundred forty-four million, three hundred thirty thousand".