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221121002223 = 33115971223797
BaseRepresentation
bin1100110111101111010…
…1101011101011101111
3210010202022011202201000
43031323311223223233
512110323434032343
6245325342251343
721655404335652
oct3157365535357
9703668152630
10221121002223
118586004a840
1236a30b86b53
1317b0c01c124
14a9b9211899
155b42823ed3
hex337bd6baef

221121002223 has 128 divisors (see below), whose sum is σ = 370660147200. Its totient is φ = 129141129600.

The previous prime is 221121002197. The next prime is 221121002233. The reversal of 221121002223 is 322200121122.

It is not a de Polignac number, because 221121002223 - 28 = 221121001967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221121002196 and 221121002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121002233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277441261 + ... + 277442057.

It is an arithmetic number, because the mean of its divisors is an integer number (2895782400).

Almost surely, 2221121002223 is an apocalyptic number.

221121002223 is a deficient number, since it is larger than the sum of its proper divisors (149539144977).

221121002223 is a wasteful number, since it uses less digits than its factorization.

221121002223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221121002223 its reverse (322200121122), we get a palindrome (543321123345).

The spelling of 221121002223 in words is "two hundred twenty-one billion, one hundred twenty-one million, two thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 59 71 99 177 213 223 297 531 639 649 669 781 797 1593 1917 1947 2007 2343 2391 2453 4189 5841 6021 7029 7173 7359 8767 12567 13157 15833 17523 21087 21519 22077 26301 37701 39471 46079 47023 47499 56587 66231 78903 113103 118413 138237 141069 142497 144727 169761 174163 177731 236709 355239 414711 423207 427491 434181 509283 517253 522489 533193 622457 934147 1244133 1269621 1302543 1527849 1551759 1567467 1599579 1867371 1955041 2802441 3338633 3907629 4655277 4702401 4798737 5602113 5865123 8407323 10015899 10275617 10486129 12618901 13965831 16806339 17595369 25221969 30047697 30826851 31458387 36724963 37856703 52786107 90143091 92480553 94375161 110174889 113570109 115347419 138807911 277441659 283125483 330524667 340710327 346042257 416423733 744515159 991574001 1038126771 1249271199 2233545477 3114380313 3747813597 6700636431 8189666749 20101909293 24569000247 73707000741 221121002223