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121001166 = 2321113291621
BaseRepresentation
bin1110011011001…
…01010011001110
322102200111101200
413031211103032
5221434014131
620001250330
72666331036
oct715452316
9272614350
10121001166
1162335a70
12346339a6
131c0b7830
14120da8c6
15a9522e6
hex73654ce

121001166 has 96 divisors (see below), whose sum is σ = 318820320. Its totient is φ = 32659200.

The previous prime is 121001161. The next prime is 121001197. The reversal of 121001166 is 661100121.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73836 + ... + 75456.

It is an arithmetic number, because the mean of its divisors is an integer number (3321045).

Almost surely, 2121001166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121001166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159410160).

121001166 is an abundant number, since it is smaller than the sum of its proper divisors (197819154).

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

121001166 is a wasteful number, since it uses less digits than its factorization.

121001166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121001166 is about 11000.0529998723. The cubic root of 121001166 is about 494.6103330630.

Adding to 121001166 its reverse (661100121), we get a palindrome (782101287).

The spelling of 121001166 in words is "one hundred twenty-one million, one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 174 198 234 261 286 319 377 429 522 638 754 858 957 1131 1287 1621 1914 2262 2574 2871 3242 3393 4147 4863 5742 6786 8294 9726 12441 14589 17831 21073 24882 29178 35662 37323 42146 47009 53493 63219 74646 94018 106986 126438 141027 160479 189657 231803 282054 320958 379314 423081 463606 517099 611117 695409 846162 1034198 1222234 1390818 1551297 1833351 2086227 3102594 3666702 4172454 4653891 5500053 6722287 9307782 11000106 13444574 20166861 40333722 60500583 121001166