Search a number
-
+
104340202243002 = 233112333112424091
BaseRepresentation
bin10111101110010110011000…
…101100001100001110111010
3111200102211022002112210201000
4113232112120230030032322
5102134002213233234002
61005525121023305430
730656221323410415
oct2756263054141672
9450384262483630
10104340202243002
1130278482028260
12b8519b674b276
13462b3149b3a3b
141baa142668b7c
15c0e1dc56e61c
hex5ee598b0c3ba

104340202243002 has 128 divisors (see below), whose sum is σ = 254848476579840. Its totient is φ = 31381299504000.

The previous prime is 104340202242971. The next prime is 104340202243033. The reversal of 104340202243002 is 200342202043401.

104340202243002 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 402 + 0 + 224 + 30 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104340202242971) and next prime (104340202243033).

It is a super-2 number, since 2×1043402022430022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41830977 + ... + 44255067.

It is an arithmetic number, because the mean of its divisors is an integer number (1991003723280).

Almost surely, 2104340202243002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104340202243002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127424238289920).

104340202243002 is an abundant number, since it is smaller than the sum of its proper divisors (150508274336838).

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

104340202243002 is a wasteful number, since it uses less digits than its factorization.

104340202243002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424657 (or 2424651 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 104340202243002 its reverse (200342202043401), we get a palindrome (304682404286403).

The spelling of 104340202243002 in words is "one hundred four trillion, three hundred forty billion, two hundred two million, two hundred forty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 311 466 594 622 699 933 1398 1866 2097 2563 2799 3421 4194 5126 5598 6291 6842 7689 8397 10263 12582 15378 16794 20526 23067 30789 46134 61578 69201 72463 92367 138402 144926 184734 217389 434778 652167 797093 1304334 1594186 1956501 2391279 2424091 3913002 4782558 4848182 7173837 7272273 14347674 14544546 21521511 21816819 26665001 43043022 43633638 53330002 65450457 79995003 130900914 159990006 239985009 479970018 564813203 719955027 753892301 1129626406 1439910054 1507784602 1694439609 2261676903 3388879218 4523353806 5083318827 6212945233 6785030709 8292815311 10166637654 12425890466 13570061418 15249956481 16585630622 18638835699 20355092127 24878445933 30499912962 37277671398 40710184254 49756891866 55916507097 74635337799 111833014194 149270675598 167749521291 175656906133 223906013397 335499042582 351313812266 447812026794 526970718399 1053941436798 1580912155197 1932225967463 3161824310394 3864451934926 4742736465591 5796677902389 9485472931182 11593355804778 17390033707167 34780067414334 52170101121501 104340202243002