Search a number
-
+
120111421133430 = 23451991123663539
BaseRepresentation
bin11011010011110110011110…
…100101110001001001110110
3120202021112120110022001220000
4123103312132211301021312
5111220401142302232210
61103242231454252130
734204522662166566
oct3323663645611166
9522245513261800
10120111421133430
11352a8a70a27961
121157a493ab7046
1352035c619461c
1421935d0ca6da6
15dd45913b9ac0
hex6d3d9e971276

120111421133430 has 160 divisors (see below), whose sum is σ = 324878738976000. Its totient is φ = 31840332752448.

The previous prime is 120111421133411. The next prime is 120111421133441. The reversal of 120111421133430 is 34331124111021.

120111421133430 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 14 + 211 + 3 + 3 + 430 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120111421133394 and 120111421133403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180684601 + ... + 181348139.

It is an arithmetic number, because the mean of its divisors is an integer number (2030492118600).

Almost surely, 2120111421133430 is an apocalyptic number.

120111421133430 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 120111421133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162439369488000).

120111421133430 is an abundant number, since it is smaller than the sum of its proper divisors (204767317842570).

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

120111421133430 is a wasteful number, since it uses less digits than its factorization.

120111421133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664880 (or 664871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 120111421133430 its reverse (34331124111021), we get a palindrome (154442545244451).

The spelling of 120111421133430 in words is "one hundred twenty trillion, one hundred eleven billion, four hundred twenty-one million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 270 398 405 597 810 995 1123 1194 1791 1990 2246 2985 3369 3582 5373 5615 5970 6738 8955 10107 10746 11230 16119 16845 17910 20214 26865 30321 32238 33690 50535 53730 60642 80595 90963 101070 151605 161190 181926 223477 303210 446954 454815 663539 670431 909630 1117385 1327078 1340862 1990617 2011293 2234770 3317695 3352155 3981234 4022586 5971851 6033879 6635390 6704310 9953085 10056465 11943702 12067758 17915553 18101637 19906170 20112930 29859255 30169395 35831106 36203274 53746659 59718510 60338790 89577765 90508185 107493318 132044261 179155530 181016370 264088522 268733295 396132783 537466590 660221305 745154297 792265566 1188398349 1320442610 1490308594 1980663915 2235462891 2376796698 3565195047 3725771485 3961327830 4470925782 5941991745 6706388673 7130390094 7451542970 10695585141 11177314455 11883983490 13412777346 17825975235 20119166019 21391170282 22354628910 33531943365 35651950470 40238332038 53477925705 60357498057 67063886730 100595830095 106955851410 120714996114 148285705103 201191660190 296571410206 301787490285 444857115309 603574980570 741428525515 889714230618 1334571345927 1482857051030 2224285576545 2669142691854 4003714037781 4448571153090 6672856729635 8007428075562 12011142113343 13345713459270 20018570188905 24022284226686 40037140377810 60055710566715 120111421133430