Search a number
-
+
121005061002 = 2397479343
BaseRepresentation
bin111000010110001110…
…1101011001110001010
3102120100001101000000000
41300230131223032022
53440304243423002
6131331114223430
711512422022260
oct1605435531612
9376301330000
10121005061002
1147355225351
121b550424b76
13b5454a7017
145bdca10430
15323333661c
hex1c2c76b38a

121005061002 has 160 divisors (see below), whose sum is σ = 317804838912. Its totient is φ = 33833659824.

The previous prime is 121005060997. The next prime is 121005061013. The reversal of 121005061002 is 200160500121.

121005061002 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 0 + 50 + 610 + 0 + 2 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 12946743 + ... + 12956085.

Almost surely, 2121005061002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121005061002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158902419456).

121005061002 is an abundant number, since it is smaller than the sum of its proper divisors (196799777910).

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

121005061002 is an frugal number, since it uses more digits than its factorization.

121005061002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 121005061002 its reverse (200160500121), we get a palindrome (321165561123).

The spelling of 121005061002 in words is "one hundred twenty-one billion, five million, sixty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 243 282 329 378 423 486 567 658 729 846 987 1134 1269 1458 1701 1974 2187 2538 2961 3402 3807 4374 5103 5922 6561 7614 8883 9343 10206 11421 13122 15309 17766 18686 19683 22842 26649 28029 30618 34263 39366 45927 53298 56058 65401 68526 79947 84087 91854 102789 130802 137781 159894 168174 196203 205578 239841 252261 275562 308367 392406 439121 479682 504522 588609 616734 719523 756783 878242 925101 1177218 1317363 1439046 1513566 1765827 1850202 2158569 2270349 2634726 3073847 3531654 3952089 4317138 4540698 5297481 6147694 6475707 6811047 7904178 9221541 10594962 11856267 12951414 13622094 15892443 18443082 20433141 23712534 27664623 31784886 35568801 40866282 47677329 55329246 61299423 71137602 82993869 95354658 106706403 122598846 143031987 165987738 183898269 213412806 248981607 286063974 320119209 367796538 429095961 497963214 640238418 746944821 858191922 960357627 1287287883 1493889642 1920715254 2240834463 2574575766 2881072881 4481668926 5762145762 6722503389 8643218643 13445006778 17286437286 20167510167 40335020334 60502530501 121005061002