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1221003342 = 23313171011013
BaseRepresentation
bin100100011000111…
…0000100001001110
310011002112101201000
41020301300201032
510000034101332
6321054201130
742154233336
oct11061604116
93132471630
101221003342
11577251979
122a0ab31a6
13165c694b0
14b823a0c6
15722d8b7c
hex48c7084e

1221003342 has 128 divisors (see below), whose sum is σ = 3127662720. Its totient is φ = 349747200.

The previous prime is 1221003341. The next prime is 1221003353. The reversal of 1221003342 is 2433001221.

It is a super-3 number, since 3×12210033423 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221003341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204828 + ... + 1205840.

It is an arithmetic number, because the mean of its divisors is an integer number (24434865).

Almost surely, 21221003342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221003342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563831360).

1221003342 is an abundant number, since it is smaller than the sum of its proper divisors (1906659378).

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

1221003342 is a wasteful number, since it uses less digits than its factorization.

1221003342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1221003342 is about 34942.8582402757. The cubic root of 1221003342 is about 1068.8225735882.

Adding to 1221003342 its reverse (2433001221), we get a palindrome (3654004563).

The spelling of 1221003342 in words is "one billion, two hundred twenty-one million, three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 101 102 117 153 202 221 234 303 306 351 442 459 606 663 702 909 918 1013 1313 1326 1717 1818 1989 2026 2626 2727 3039 3434 3939 3978 5151 5454 5967 6078 7878 9117 10302 11817 11934 13169 15453 17221 18234 22321 23634 26338 27351 30906 34442 35451 39507 44642 46359 51663 54702 66963 70902 79014 92718 102313 103326 118521 133926 154989 200889 204626 223873 237042 306939 309978 355563 401778 447746 464967 602667 613878 671619 711126 920817 929934 1205334 1330069 1343238 1739321 1841634 2014857 2660138 2762451 3478642 3990207 4029714 5217963 5524902 6044571 7980414 10435926 11970621 12089142 15653889 22611173 23941242 31307778 35911863 45222346 46961667 67833519 71823726 93923334 135667038 203500557 407001114 610501671 1221003342