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21330310320 = 243251112172213
BaseRepresentation
bin10011110111011000…
…101011010010110000
32001001112202000221100
4103313120223102300
5322141024412240
613444330324400
71353404434434
oct236730532260
961045660840
1021330310320
119056449940
124173589700
13201c195bc7
141064c569c4
1584c946e30
hex4f762b4b0

21330310320 has 240 divisors, whose sum is σ = 78246054432. Its totient is φ = 5164400640.

The previous prime is 21330310307. The next prime is 21330310321. The reversal of 21330310320 is 2301303312.

21330310320 is a `hidden beast` number, since 2 + 1 + 3 + 30 + 310 + 320 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 21330310293 and 21330310302.

It is not an unprimeable number, because it can be changed into a prime (21330310321) 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, 9637534 + ... + 9639746.

Almost surely, 221330310320 is an apocalyptic number.

21330310320 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 21330310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39123027216).

21330310320 is an abundant number, since it is smaller than the sum of its proper divisors (56915744112).

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

21330310320 is a wasteful number, since it uses less digits than its factorization.

21330310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21330310320 its reverse (2301303312), we get a palindrome (23631613632).

The spelling of 21330310320 in words is "twenty-one billion, three hundred thirty million, three hundred ten thousand, three hundred twenty".