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12331242 = 23272113141
BaseRepresentation
bin101111000010…
…100011101010
3212012111021200
4233002203222
511124044432
61120145030
7206546100
oct57024352
925174250
1012331242
116a62710
124168176
1327299c1
1418cdc70
151138a7c
hexbc28ea

12331242 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 3024000.

The previous prime is 12331237. The next prime is 12331301. The reversal of 12331242 is 24213321.

12331242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300742 + ... + 300782.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 212331242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

12331242 is an abundant number, since it is smaller than the sum of its proper divisors (23521302).

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

12331242 is a wasteful number, since it uses less digits than its factorization.

12331242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

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

The square root of 12331242 is about 3511.5868207977. The cubic root of 12331242 is about 231.0302990560.

Adding to 12331242 its reverse (24213321), we get a palindrome (36544563).

The spelling of 12331242 in words is "twelve million, three hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 41 42 49 62 63 66 77 82 93 98 99 123 126 147 154 186 198 217 231 246 279 287 294 341 369 434 441 451 462 539 558 574 651 682 693 738 861 882 902 1023 1078 1271 1302 1353 1386 1519 1617 1722 1953 2009 2046 2387 2542 2583 2706 3038 3069 3157 3234 3813 3906 4018 4059 4557 4774 4851 5166 6027 6138 6314 7161 7626 8118 8897 9114 9471 9702 11439 12054 13671 13981 14322 16709 17794 18081 18942 21483 22099 22878 26691 27342 27962 28413 33418 36162 41943 42966 44198 50127 53382 56826 62279 66297 80073 83886 97867 100254 124558 125829 132594 150381 160146 186837 195734 198891 251658 293601 300762 373674 397782 560511 587202 685069 880803 1121022 1370138 1761606 2055207 4110414 6165621 12331242