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1123541320 = 235112553503
BaseRepresentation
bin100001011110111…
…1110000101001000
32220022010210221111
41002331332011020
54300111310240
6303253220104
736561641446
oct10275760510
92808123844
101123541320
11527234250
12274331634
1314ba03c65
14a9309b96
15689861ea
hex42f7e148

1123541320 has 32 divisors (see below), whose sum is σ = 2757784320. Its totient is φ = 408560320.

The previous prime is 1123541317. The next prime is 1123541323. The reversal of 1123541320 is 231453211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123541317) and next prime (1123541323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1123541291 and 1123541300.

It is not an unprimeable number, because it can be changed into a prime (1123541323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1276312 + ... + 1277191.

It is an arithmetic number, because the mean of its divisors is an integer number (86180760).

Almost surely, 21123541320 is an apocalyptic number.

1123541320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123541320 is an abundant number, since it is smaller than the sum of its proper divisors (1634243000).

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

1123541320 is a wasteful number, since it uses less digits than its factorization.

1123541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553525 (or 2553521 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1123541320 is about 33519.2678917664. The cubic root of 1123541320 is about 1039.5922094530.

Adding to 1123541320 its reverse (231453211), we get a palindrome (1354994531).

The spelling of 1123541320 in words is "one billion, one hundred twenty-three million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2553503 5107006 10214012 12767515 20428024 25535030 28088533 51070060 56177066 102140120 112354132 140442665 224708264 280885330 561770660 1123541320