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121317168 = 24371767317
BaseRepresentation
bin1110011101100…
…10011100110000
322110021112212110
413032302130300
5222024122133
620012125320
73002115240
oct716623460
9273245773
10121317168
1162531425
1234766840
131c19860b
141217db20
15a9b5c63
hex73b2730

121317168 has 160 divisors (see below), whose sum is σ = 386118144. Its totient is φ = 32034816.

The previous prime is 121317143. The next prime is 121317173. The reversal of 121317168 is 861713121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382546 + ... + 382862.

Almost surely, 2121317168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121317168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193059072).

121317168 is an abundant number, since it is smaller than the sum of its proper divisors (264800976).

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

121317168 is a wasteful number, since it uses less digits than its factorization.

121317168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 121317168 is about 11014.4072922695. The cubic root of 121317168 is about 495.0405272399.

It can be divided in two parts, 1213 and 17168, that added together give a palindrome (18381).

The spelling of 121317168 in words is "one hundred twenty-one million, three hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 67 68 84 102 112 119 134 136 168 201 204 238 268 272 317 336 357 402 408 469 476 536 634 714 804 816 938 951 952 1072 1139 1268 1407 1428 1608 1876 1902 1904 2219 2278 2536 2814 2856 3216 3417 3752 3804 4438 4556 5072 5389 5628 5712 6657 6834 7504 7608 7973 8876 9112 10778 11256 13314 13668 15216 15946 16167 17752 18224 21239 21556 22512 23919 26628 27336 31892 32334 35504 37723 42478 43112 47838 53256 54672 63717 63784 64668 75446 84956 86224 95676 106512 113169 127434 127568 129336 148673 150892 169912 191352 226338 254868 258672 297346 301784 339824 361063 382704 446019 452676 509736 594692 603568 722126 892038 905352 1019472 1083189 1189384 1444252 1784076 1810704 2166378 2378768 2527441 2888504 3568152 4332756 5054882 5777008 7136304 7582323 8665512 10109764 15164646 17331024 20219528 30329292 40439056 60658584 121317168