Search a number
-
+
21221031321 = 357101149829
BaseRepresentation
bin10011110000110111…
…110011110110011001
32000202221010002100000
4103300313303312121
5321430041000241
613425424203213
71350606534660
oct236067636631
960687102300
1021221031321
118aaa79aa16
124142a69509
132002653a89
14105452bdd7
1584305ceb6
hex4f0df3d99

21221031321 has 96 divisors (see below), whose sum is σ = 36979488000. Its totient is φ = 11911276800.

The previous prime is 21221031317. The next prime is 21221031347. The reversal of 21221031321 is 12313012212.

It is not a de Polignac number, because 21221031321 - 22 = 21221031317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21221031294 and 21221031303.

It is not an unprimeable number, because it can be changed into a prime (21221031361) 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, 25597935 + ... + 25598763.

It is an arithmetic number, because the mean of its divisors is an integer number (385203000).

Almost surely, 221221031321 is an apocalyptic number.

21221031321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21221031321 is a deficient number, since it is larger than the sum of its proper divisors (15758456679).

21221031321 is a wasteful number, since it uses less digits than its factorization.

21221031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

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

Adding to 21221031321 its reverse (12313012212), we get a palindrome (33534043533).

The spelling of 21221031321 in words is "twenty-one billion, two hundred twenty-one million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 101 149 189 243 303 447 567 707 829 909 1043 1341 1701 2121 2487 2727 3129 4023 5803 6363 7461 8181 9387 12069 15049 17409 19089 22383 24543 28161 36207 45147 52227 57267 67149 83729 84483 105343 123521 135441 156681 171801 201447 251187 253449 316029 370563 406323 470043 586103 753561 864647 948087 1111689 1218969 1410129 1758309 2260683 2593941 2844261 3335067 3656907 5274927 6782049 7781823 8532783 10005201 12475621 15824781 20346147 23345469 25598349 30015603 37426863 47474343 70036407 87329347 112280589 142423029 210109221 261988041 336841767 785964123 1010525301 2357892369 3031575903 7073677107 21221031321