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21330202320 = 2432574232183
BaseRepresentation
bin10011110111011000…
…010000111011010000
32001001112112112210100
4103313120100323100
5322141012433240
613444324132400
71353403504530
oct236730207320
961045475710
1021330202320
119056385789
124173537100
13201c1589bb
141064c294c0
1584c924e30
hex4f7610ed0

21330202320 has 120 divisors (see below), whose sum is σ = 81867367296. Its totient is φ = 4875473664.

The previous prime is 21330202297. The next prime is 21330202339. The reversal of 21330202320 is 2320203312.

It is a happy number.

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 = 21330202293 and 21330202302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2111052 + ... + 2121131.

Almost surely, 221330202320 is an apocalyptic number.

21330202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330202320 is an abundant number, since it is smaller than the sum of its proper divisors (60537164976).

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

21330202320 is a wasteful number, since it uses less digits than its factorization.

21330202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232209 (or 4232200 counting only the distinct ones).

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

Adding to 21330202320 its reverse (2320203312), we get a palindrome (23650405632).

The spelling of 21330202320 in words is "twenty-one billion, three hundred thirty million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4232183 8464366 12696549 16928732 21160915 25393098 29625281 33857464 38089647 42321830 50786196 59250562 63482745 67714928 76179294 84643660 88875843 101572392 118501124 126965490 148126405 152358588 169287320 177751686 190448235 203144784 237002248 253930980 266627529 296252810 304717176 338574640 355503372 380896470 444379215 474004496 507861960 533255058 592505620 609434352 711006744 761792940 888758430 1015723920 1066510116 1185011240 1333137645 1422013488 1523585880 1777516860 2133020232 2370022480 2666275290 3047171760 3555033720 4266040464 5332550580 7110067440 10665101160 21330202320