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21231310000 = 245447199227
BaseRepresentation
bin10011110001011111…
…000001010010110000
32000210122110022000211
4103301133001102300
5321440203410000
613430432353504
71351063104655
oct236137012260
960718408024
1021231310000
11900558049a
1241463a5894
132004812434
141055a45c2c
15843ddd7ba
hex4f17c14b0

21231310000 has 200 divisors, whose sum is σ = 52993036800. Its totient is φ = 8233632000.

The previous prime is 21231309991. The next prime is 21231310021. The reversal of 21231310000 is 1313212.

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

It is a super-2 number, since 2×212313100002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93529887 + ... + 93530113.

It is an arithmetic number, because the mean of its divisors is an integer number (264965184).

Almost surely, 221231310000 is an apocalyptic number.

21231310000 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 21231310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496518400).

21231310000 is an abundant number, since it is smaller than the sum of its proper divisors (31761726800).

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

21231310000 is a wasteful number, since it uses less digits than its factorization.

21231310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21231310000 its reverse (1313212), we get a palindrome (21232623212).

The spelling of 21231310000 in words is "twenty-one billion, two hundred thirty-one million, three hundred ten thousand".