Search a number
-
+
121303412240 = 2454093707317
BaseRepresentation
bin111000011111000111…
…1110010111000010000
3102121002211202210221212
41300332033302320100
53441412133142430
6131420453035252
711523003664043
oct1607617627020
9377084683855
10121303412240
114749868301a
121b614325b28
13b59224850a
145c2a4b4c5a
15324e61bb95
hex1c3e3f2e10

121303412240 has 40 divisors (see below), whose sum is σ = 282720070680. Its totient is φ = 48402717696.

The previous prime is 121303412239. The next prime is 121303412309. The reversal of 121303412240 is 42214303121.

It can be written as a sum of positive squares in 4 ways, for example, as 19519442944 + 101783969296 = 139712^2 + 319036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1820939 + ... + 1886378.

It is an arithmetic number, because the mean of its divisors is an integer number (7068001767).

Almost surely, 2121303412240 is an apocalyptic number.

121303412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121303412240 is an abundant number, since it is smaller than the sum of its proper divisors (161416658440).

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

121303412240 is a wasteful number, since it uses less digits than its factorization.

121303412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707739 (or 3707733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 121303412240 its reverse (42214303121), we get a palindrome (163517715361).

The spelling of 121303412240 in words is "one hundred twenty-one billion, three hundred three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 6544 8180 16360 32720 3707317 7414634 14829268 18536585 29658536 37073170 59317072 74146340 148292680 296585360 1516292653 3032585306 6065170612 7581463265 12130341224 15162926530 24260682448 30325853060 60651706120 121303412240