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121304300166 = 23377311338903
BaseRepresentation
bin111000011111001001…
…1001011101010000110
3102121002220102220222000
41300332103023222012
53441412400101131
6131420524050130
711523014352540
oct1607623135206
9377086386860
10121304300166
114749912a145
121b614693946
13b59249970a
145c2a666690
15324e744ce6
hex1c3e4cba86

121304300166 has 128 divisors (see below), whose sum is σ = 315066378240. Its totient is φ = 33880218624.

The previous prime is 121304300153. The next prime is 121304300177. The reversal of 121304300166 is 661003403121.

121304300166 is a `hidden beast` number, since 1 + 213 + 0 + 430 + 0 + 16 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3098671 + ... + 3137573.

It is an arithmetic number, because the mean of its divisors is an integer number (2461456080).

Almost surely, 2121304300166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121304300166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157533189120).

121304300166 is an abundant number, since it is smaller than the sum of its proper divisors (193762078074).

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

121304300166 is a wasteful number, since it uses less digits than its factorization.

121304300166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39107 (or 39101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121304300166 its reverse (661003403121), we get a palindrome (782307703287).

The spelling of 121304300166 in words is "one hundred twenty-one billion, three hundred four million, three hundred thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 113 126 146 189 219 226 339 378 438 511 657 678 791 1017 1022 1314 1533 1582 1971 2034 2373 3051 3066 3942 4599 4746 6102 7119 8249 9198 13797 14238 16498 21357 24747 27594 38903 42714 49494 57743 74241 77806 115486 116709 148482 173229 222723 233418 272321 346458 350127 445446 519687 544642 700254 816963 1039374 1050381 1559061 1633926 2100762 2450889 2839919 3118122 4396039 4901778 5679838 7352667 8519757 8792078 13188117 14705334 17039514 19879433 25559271 26376234 30772273 39564351 39758866 51118542 59638299 61544546 76677813 79128702 92316819 118693053 119276598 153355626 178914897 184633638 237386106 276950457 320910847 357829794 536744691 553900914 641821694 830851371 962732541 1073489382 1661702742 1925465082 2246375929 2888197623 4492751858 5776395246 6739127787 8664592869 13478255574 17329185738 20217383361 40434766722 60652150083 121304300166