Search a number
-
+
121301031220 = 22529277857881
BaseRepresentation
bin111000011111000011…
…0101101100100110100
3102121002200021211210221
41300332012231210310
53441411030444340
6131420330024124
711522644516225
oct1607606554464
9377080254727
10121301031220
11474972a7136
121b613578044
13b5918c3825
145c2a05524c
15324e2eb44a
hex1c3e1ad934

121301031220 has 96 divisors (see below), whose sum is σ = 265076491680. Its totient is φ = 46570782720.

The previous prime is 121301031199. The next prime is 121301031227. The reversal of 121301031220 is 22130103121.

It can be written as a sum of positive squares in 16 ways, for example, as 33255899044 + 88045132176 = 182362^2 + 296724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121301031194 and 121301031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121301031227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137685180 + ... + 137686060.

It is an arithmetic number, because the mean of its divisors is an integer number (2761213455).

Almost surely, 2121301031220 is an apocalyptic number.

121301031220 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 121301031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132538245840).

121301031220 is an abundant number, since it is smaller than the sum of its proper divisors (143775460460).

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

121301031220 is a wasteful number, since it uses less digits than its factorization.

121301031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121301031220 its reverse (22130103121), we get a palindrome (143431134341).

The spelling of 121301031220 in words is "one hundred twenty-one billion, three hundred one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 277 290 554 580 857 881 1108 1385 1714 1762 2770 3428 3524 4285 4405 5540 8033 8570 8810 16066 17140 17620 24853 25549 32132 40165 49706 51098 80330 99412 102196 124265 127745 160660 237389 244037 248530 255490 474778 488074 497060 510980 755017 949556 976148 1186945 1220185 1510034 2373890 2440370 3020068 3775085 4747780 4880740 6884281 7077073 7550170 13768562 14154146 15100340 21895493 27537124 28308292 34421405 35385365 43790986 68842810 70770730 87581972 109477465 137685620 141541460 209139709 218954930 418279418 437909860 836558836 1045698545 2091397090 4182794180 6065051561 12130103122 24260206244 30325257805 60650515610 121301031220