Search a number
-
+
121130144 = 2523315309
BaseRepresentation
bin1110011100001…
…00110010100000
322102221001022122
413032010302200
5222002131034
620004123412
73000406052
oct716046240
9272831278
10121130144
1162413963
1234696568
131c131455
14121318d2
15a97a62e
hex7384ca0

121130144 has 48 divisors (see below), whose sum is σ = 256919040. Its totient is φ = 56052480.

The previous prime is 121130137. The next prime is 121130153. The reversal of 121130144 is 441031121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20162 + ... + 25470.

It is an arithmetic number, because the mean of its divisors is an integer number (5352480).

Almost surely, 2121130144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128459520).

121130144 is an abundant number, since it is smaller than the sum of its proper divisors (135788896).

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

121130144 is a wasteful number, since it uses less digits than its factorization.

121130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 121130144 is about 11005.9140465479. The cubic root of 121130144 is about 494.7860096029.

Adding to 121130144 its reverse (441031121), we get a palindrome (562161265).

The spelling of 121130144 in words is "one hundred twenty-one million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5309 5704 10618 11408 21236 22816 42472 84944 122107 164579 169888 244214 329158 488428 658316 976856 1316632 1953712 2633264 3785317 3907424 5266528 7570634 15141268 30282536 60565072 121130144