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1123103020 = 2251322291451
BaseRepresentation
bin100001011110001…
…0011000100101100
32220021022112201011
41002330103010230
54300003244040
6303235555004
736555134554
oct10274230454
92807275634
101123103020
11526a64a16
1227415ba64
1314b8ac600
14a9234164
15688eb3ea
hex42f1312c

1123103020 has 72 divisors (see below), whose sum is σ = 2566816560. Its totient is φ = 412588800.

The previous prime is 1123102997. The next prime is 1123103027. The reversal of 1123103020 is 203013211.

It is a super-2 number, since 2×11231030202 = 2522720787066240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1123103027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 773295 + ... + 774745.

It is an arithmetic number, because the mean of its divisors is an integer number (35650230).

Almost surely, 21123103020 is an apocalyptic number.

1123103020 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 1123103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283408280).

1123103020 is an abundant number, since it is smaller than the sum of its proper divisors (1443713540).

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

1123103020 is a wasteful number, since it uses less digits than its factorization.

1123103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1123103020 is about 33512.7292233861. The cubic root of 1123103020 is about 1039.4570082159.

Adding to 1123103020 its reverse (203013211), we get a palindrome (1326116231).

The spelling of 1123103020 in words is "one billion, one hundred twenty-three million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 229 260 338 458 676 845 916 1145 1451 1690 2290 2902 2977 3380 4580 5804 5954 7255 11908 14510 14885 18863 29020 29770 37726 38701 59540 75452 77402 94315 154804 188630 193505 245219 332279 377260 387010 490438 664558 774020 980876 1226095 1329116 1661395 2452190 3322790 4319627 4904380 6645580 8639254 17278508 21598135 43196270 56155151 86392540 112310302 224620604 280775755 561551510 1123103020