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21201313320 = 233251122872341
BaseRepresentation
bin10011101111101100…
…100101111000101000
32000201120000022022200
4103233230211320220
5321410014011240
613423441420200
71350250122045
oct235754457050
960646008280
1021201313320
118a9a652550
12413833a660
131ccb53bb15
141051a781cc
15841465930
hex4efb25e28

21201313320 has 192 divisors, whose sum is σ = 75233283840. Its totient is φ = 5135270400.

The previous prime is 21201313319. The next prime is 21201313339. The reversal of 21201313320 is 2331310212.

21201313320 is a `hidden beast` number, since 212 + 0 + 131 + 3 + 320 = 666.

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 = 21201313293 and 21201313302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9055350 + ... + 9057690.

It is an arithmetic number, because the mean of its divisors is an integer number (391840020).

Almost surely, 221201313320 is an apocalyptic number.

21201313320 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 21201313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37616641920).

21201313320 is an abundant number, since it is smaller than the sum of its proper divisors (54031970520).

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

21201313320 is a wasteful number, since it uses less digits than its factorization.

21201313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21201313320 its reverse (2331310212), we get a palindrome (23532623532).

The spelling of 21201313320 in words is "twenty-one billion, two hundred one million, three hundred thirteen thousand, three hundred twenty".