[go: up one dir, main page]

Search a number
-
+
1123341120 = 263251159601
BaseRepresentation
bin100001011110100…
…1101001101000000
32220021202122022200
41002331031031000
54300033403440
6303245033200
736560145666
oct10275151500
92807678280
101123341120
115271078a0
12274255800
1314b963ab5
14a9296c36
1568946c30
hex42f4d340

1123341120 has 336 divisors, whose sum is σ = 4293656640. Its totient is φ = 267264000.

The previous prime is 1123341119. The next prime is 1123341139. The reversal of 1123341120 is 211433211.

1123341120 is a `hidden beast` number, since 1 + 1 + 233 + 411 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1123341093 and 1123341102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868820 + ... + 1869420.

It is an arithmetic number, because the mean of its divisors is an integer number (12778740).

Almost surely, 21123341120 is an apocalyptic number.

1123341120 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 1123341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146828320).

1123341120 is an abundant number, since it is smaller than the sum of its proper divisors (3170315520).

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

1123341120 is a wasteful number, since it uses less digits than its factorization.

1123341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1123341120 is about 33516.2814166488. The cubic root of 1123341120 is about 1039.5304586538.

Adding to 1123341120 its reverse (211433211), we get a palindrome (1334774331).

It can be divided in two parts, 1123 and 341120, that added together give a palindrome (342243).

The spelling of 1123341120 in words is "one billion, one hundred twenty-three million, three hundred forty-one thousand, one hundred twenty".