Search a number
-
+
1121344120 = 2351315114281
BaseRepresentation
bin100001011010110…
…0101101001111000
32220011000011221201
41002311211221320
54244031002440
6303134143544
736534160561
oct10265455170
92804004851
101121344120
11525a73486
12273651bb4
1314b414b40
14a8cd7168
15686a019a
hex42d65a78

1121344120 has 64 divisors (see below), whose sum is σ = 2735288640. Its totient is φ = 411264000.

The previous prime is 1121344111. The next prime is 1121344171. The reversal of 1121344120 is 214431211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71380 + ... + 85660.

It is an arithmetic number, because the mean of its divisors is an integer number (42738885).

Almost surely, 21121344120 is an apocalyptic number.

1121344120 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 1121344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367644320).

1121344120 is an abundant number, since it is smaller than the sum of its proper divisors (1613944520).

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

1121344120 is a wasteful number, since it uses less digits than its factorization.

1121344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1121344120 is about 33486.4766734274. The cubic root of 1121344120 is about 1038.9140909088.

Adding to 1121344120 its reverse (214431211), we get a palindrome (1335775331).

The spelling of 1121344120 in words is "one billion, one hundred twenty-one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 151 260 302 520 604 755 1208 1510 1963 3020 3926 6040 7852 9815 14281 15704 19630 28562 39260 57124 71405 78520 114248 142810 185653 285620 371306 571240 742612 928265 1485224 1856530 2156431 3713060 4312862 7426120 8625724 10782155 17251448 21564310 28033603 43128620 56067206 86257240 112134412 140168015 224268824 280336030 560672060 1121344120