Search a number
-
+
121100144 = 24112712539
BaseRepresentation
bin1110011011111…
…01011101110000
322102212112011112
413031331131300
5222000201034
620003332452
73000222434
oct715753560
9272775145
10121100144
11623a3370
1234681128
131c1208b9
14121249c4
15a9717ce
hex737d770

121100144 has 40 divisors (see below), whose sum is σ = 257007360. Its totient is φ = 54820800.

The previous prime is 121100131. The next prime is 121100159. The reversal of 121100144 is 441001121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46427 + ... + 48965.

It is an arithmetic number, because the mean of its divisors is an integer number (6425184).

Almost surely, 2121100144 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 121100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128503680).

121100144 is an abundant number, since it is smaller than the sum of its proper divisors (135907216).

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

121100144 is a wasteful number, since it uses less digits than its factorization.

121100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 121100144 is about 11004.5510585394. The cubic root of 121100144 is about 494.7451587588.

Adding to 121100144 its reverse (441001121), we get a palindrome (562101265).

The spelling of 121100144 in words is "one hundred twenty-one million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 271 542 1084 2168 2539 2981 4336 5078 5962 10156 11924 20312 23848 27929 40624 47696 55858 111716 223432 446864 688069 1376138 2752276 5504552 7568759 11009104 15137518 30275036 60550072 121100144