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1121223220 = 2251310142697
BaseRepresentation
bin100001011010100…
…1000001000110100
32220010210001002221
41002311020020310
54244013120340
6303131412124
736533145235
oct10265101064
92803701087
101121223220
115259a0667
122735b4044
1314b3a1ac0
14a8ca508c
156867944a
hex42d48234

1121223220 has 48 divisors (see below), whose sum is σ = 2560855248. Its totient is φ = 409881600.

The previous prime is 1121223199. The next prime is 1121223223. The reversal of 1121223220 is 223221211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34597924 + 1086625296 = 5882^2 + 32964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1121223194 and 1121223203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121223223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4912 + ... + 47608.

It is an arithmetic number, because the mean of its divisors is an integer number (53351151).

Almost surely, 21121223220 is an apocalyptic number.

1121223220 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 1121223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280427624).

1121223220 is an abundant number, since it is smaller than the sum of its proper divisors (1439632028).

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

1121223220 is a wasteful number, since it uses less digits than its factorization.

1121223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42820 (or 42818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1121223220 is about 33484.6714184267. The cubic root of 1121223220 is about 1038.8767520207.

Adding to 1121223220 its reverse (223221211), we get a palindrome (1344444431).

The spelling of 1121223220 in words is "one billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 42697 85394 170788 213485 426970 555061 853940 1110122 2220244 2775305 4312397 5550610 8624794 11101220 17249588 21561985 43123970 56061161 86247940 112122322 224244644 280305805 560611610 1121223220