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121303220 = 22519253317
BaseRepresentation
bin1110011101011…
…11000010110100
322110020211201212
413032233002310
5222023200340
620011540552
73002026463
oct716570264
9273224655
10121303220
11625219a5
123475a758
131c19216c
14121789da
15a9b1a65
hex73af0b4

121303220 has 72 divisors (see below), whose sum is σ = 274786344. Its totient is φ = 44957952.

The previous prime is 121303181. The next prime is 121303223. The reversal of 121303220 is 22303121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3189796 + 118113424 = 1786^2 + 10868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121303195 and 121303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121303223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382502 + ... + 382818.

It is an arithmetic number, because the mean of its divisors is an integer number (3816477).

Almost surely, 2121303220 is an apocalyptic number.

121303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137393172).

121303220 is an abundant number, since it is smaller than the sum of its proper divisors (153483124).

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

121303220 is a wasteful number, since it uses less digits than its factorization.

121303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 121303220 is about 11013.7741033671. The cubic root of 121303220 is about 495.0215546850.

Adding to 121303220 its reverse (22303121), we get a palindrome (143606341).

Subtracting from 121303220 its reverse (22303121), we obtain a palindrome (99000099).

The spelling of 121303220 in words is "one hundred twenty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 317 361 380 530 634 722 1007 1060 1268 1444 1585 1805 2014 3170 3610 4028 5035 6023 6340 7220 10070 12046 16801 19133 20140 24092 30115 33602 38266 60230 67204 76532 84005 95665 114437 120460 168010 191330 228874 319219 336020 382660 457748 572185 638438 1144370 1276876 1596095 2288740 3192190 6065161 6384380 12130322 24260644 30325805 60651610 121303220