Search a number
-
+
120303323100090 = 232513102823353077
BaseRepresentation
bin11011010110101001001100…
…110101101011001110111010
3120202221212220102201001000200
4123112221030311223032322
5111232022201203200330
61103510330023343030
734224425332042134
oct3326511465531672
9522855812631020
10120303323100090
1135372397652819
12115ab70b5b1a76
1352187298680a0
14219c9d7682054
15dd957392ba60
hex6d6a4cd6b3ba

120303323100090 has 48 divisors (see below), whose sum is σ = 336849304683528. Its totient is φ = 29613125685888.

The previous prime is 120303323100089. The next prime is 120303323100133. The reversal of 120303323100090 is 90001323303021.

120303323100090 is a `hidden beast` number, since 1 + 20 + 303 + 323 + 10 + 0 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57700081947249 + 62603241152841 = 7596057^2 + 7912221^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51411675369 + ... + 51411677708.

Almost surely, 2120303323100090 is an apocalyptic number.

120303323100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120303323100090 is an abundant number, since it is smaller than the sum of its proper divisors (216545981583438).

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

120303323100090 is a wasteful number, since it uses less digits than its factorization.

120303323100090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102823353103 (or 102823353100 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 120303323100090 in words is "one hundred twenty trillion, three hundred three billion, three hundred twenty-three million, one hundred thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 102823353077 205646706154 308470059231 514116765385 616940118462 925410177693 1028233530770 1336703590001 1542350296155 1850820355386 2673407180002 3084700592310 4010110770003 4627050888465 6683517950005 8020221540006 9254101776930 12030332310009 13367035900010 20050553850015 24060664620018 40101107700030 60151661550045 120303323100090