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21303202320 = 24325187315797
BaseRepresentation
bin10011110101110001…
…010001001000010000
32000222122201210202100
4103311301101020100
5322112104433240
613441521320400
71352625142401
oct236561211020
960878653670
1021303202320
119042114234
124166496100
13201669437a
1410613db9a8
1584a38ee30
hex4f5c51210

21303202320 has 120 divisors (see below), whose sum is σ = 71585982936. Its totient is φ = 5677461504.

The previous prime is 21303202279. The next prime is 21303202337. The reversal of 21303202320 is 2320230312.

It is a happy number.

21303202320 is a `hidden beast` number, since 21 + 3 + 0 + 320 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 355850496 + 20947351824 = 18864^2 + 144732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21303202293 and 21303202302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340662 + ... + 1356458.

Almost surely, 221303202320 is an apocalyptic number.

21303202320 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 21303202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35792991468).

21303202320 is an abundant number, since it is smaller than the sum of its proper divisors (50282780616).

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

21303202320 is a wasteful number, since it uses less digits than its factorization.

21303202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17689 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21303202320 its reverse (2320230312), we get a palindrome (23623432632).

The spelling of 21303202320 in words is "twenty-one billion, three hundred three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1873 3746 5619 7492 9365 11238 14984 15797 16857 18730 22476 28095 29968 31594 33714 37460 44952 47391 56190 63188 67428 74920 78985 84285 89904 94782 112380 126376 134856 142173 149840 157970 168570 189564 224760 236955 252752 269712 284346 315940 337140 379128 449520 473910 568692 631880 674280 710865 758256 947820 1137384 1263760 1348560 1421730 1895640 2274768 2843460 3791280 5686920 11373840 29587781 59175562 88763343 118351124 147938905 177526686 236702248 266290029 295877810 355053372 443816715 473404496 532580058 591755620 710106744 887633430 1065160116 1183511240 1331450145 1420213488 1775266860 2130320232 2367022480 2662900290 3550533720 4260640464 5325800580 7101067440 10651601160 21303202320