Search a number
-
+
120333230000010 = 23251999776876943
BaseRepresentation
bin11011010111000101000011…
…011011011100011110001010
3120210001202002200210222002200
4123113011003123130132022
5111233014423340000020
61103532153412141030
734226534421354156
oct3327050333343612
9523052080728080
10120333230000010
1135384044288335
12115b5477307776
13521b4b4864181
1421a02335b4066
15dda2242b5590
hex6d71436dc78a

120333230000010 has 96 divisors (see below), whose sum is σ = 314760477657600. Its totient is φ = 31894926902784.

The previous prime is 120333229999999. The next prime is 120333230000021. The reversal of 120333230000010 is 10000032333021.

120333230000010 is a `hidden beast` number, since 1 + 20 + 3 + 332 + 300 + 0 + 0 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (120333229999999) and next prime (120333230000021).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14059599 + ... + 20936541.

It is an arithmetic number, because the mean of its divisors is an integer number (3278754975600).

Almost surely, 2120333230000010 is an apocalyptic number.

120333230000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120333230000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157380238828800).

120333230000010 is an abundant number, since it is smaller than the sum of its proper divisors (194427247657590).

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

120333230000010 is a wasteful number, since it uses less digits than its factorization.

120333230000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878132 (or 6878129 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120333230000010 its reverse (10000032333021), we get a palindrome (130333262333031).

The spelling of 120333230000010 in words is "one hundred twenty trillion, three hundred thirty-three billion, two hundred thirty million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 977 995 1194 1791 1954 1990 2931 2985 3582 4885 5862 5970 8793 8955 9770 14655 17586 17910 29310 43965 87930 194423 388846 583269 972115 1166538 1749807 1944230 2916345 3499614 5832690 6876943 8749035 13753886 17498070 20630829 34384715 41261658 61892487 68769430 103154145 123784974 206308290 309462435 618924870 1368511657 2737023314 4105534971 6718773311 6842558285 8211069942 12316604913 13437546622 13685116570 20156319933 20527674855 24633209826 33593866555 40312639866 41055349710 60468959799 61583024565 67187733110 100781599665 120937919598 123166049130 201563199330 302344798995 604689597990 1337035888889 2674071777778 4011107666667 6685179444445 8022215333334 12033323000001 13370358888890 20055538333335 24066646000002 40111076666670 60166615000005 120333230000010