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21103221321 = 32713193736653
BaseRepresentation
bin10011101001110110…
…011001101001001001
32000110201102201101200
4103221312121221021
5321204411040241
613410015134413
71344646264410
oct235166315111
960421381350
1021103221321
118a4a244586
12410b514409
131cb4115910
141042a22477
15837a3b4b6
hex4e9d99a49

21103221321 has 96 divisors (see below), whose sum is σ = 40559850240. Its totient is φ = 10260214272.

The previous prime is 21103221317. The next prime is 21103221341. The reversal of 21103221321 is 12312230112.

21103221321 is a `hidden beast` number, since 21 + 1 + 0 + 322 + 1 + 321 = 666.

It is not a de Polignac number, because 21103221321 - 22 = 21103221317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21103221294 and 21103221303.

It is not an unprimeable number, because it can be changed into a prime (21103221301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557431 + ... + 594083.

It is an arithmetic number, because the mean of its divisors is an integer number (422498440).

Almost surely, 221103221321 is an apocalyptic number.

21103221321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21103221321 is a deficient number, since it is larger than the sum of its proper divisors (19456628919).

21103221321 is a wasteful number, since it uses less digits than its factorization.

21103221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36735 (or 36732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21103221321 its reverse (12312230112), we get a palindrome (33415451433).

The spelling of 21103221321 in words is "twenty-one billion, one hundred three million, two hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 19 21 37 39 57 63 91 111 117 133 171 247 259 273 333 399 481 703 741 777 819 1197 1443 1729 2109 2223 2331 3367 4329 4921 5187 6327 9139 10101 14763 15561 27417 30303 36653 44289 63973 82251 109959 191919 256571 329877 476489 575757 696407 769713 1356161 1429467 2089221 2309139 3335423 4068483 4288401 4874849 6267663 9053291 9493127 10006269 12205449 14624547 17630093 25767059 27159873 28479381 30018807 43873641 52890279 63373037 77301177 81479619 85438143 123410651 158670837 180369413 190119111 231903531 334971767 370231953 541108239 570357333 1004915301 1110695859 1623324717 2344802369 3014745903 7034407107 21103221321