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1123023220 = 2251131716103
BaseRepresentation
bin100001011101111…
…1111100101110100
32220021011111020121
41002323333211310
54244443220340
6303234141324
736554353114
oct10273774564
92807144217
101123023220
11526a0aa70
12274121844
1314b8821a7
14a9213044
15688d294a
hex42eff974

1123023220 has 48 divisors (see below), whose sum is σ = 2581020288. Its totient is φ = 407058560.

The previous prime is 1123023203. The next prime is 1123023227. The reversal of 1123023220 is 223203211.

It is a super-2 number, since 2×11230232202 = 2522362305318336800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123023194 and 1123023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123023227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61689 + ... + 77791.

It is an arithmetic number, because the mean of its divisors is an integer number (53771256).

Almost surely, 21123023220 is an apocalyptic number.

1123023220 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 1123023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290510144).

1123023220 is an abundant number, since it is smaller than the sum of its proper divisors (1457997068).

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

1123023220 is a wasteful number, since it uses less digits than its factorization.

1123023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440 (or 16438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1123023220 is about 33511.5386098579. The cubic root of 1123023220 is about 1039.4323887368.

Adding to 1123023220 its reverse (223203211), we get a palindrome (1346226431).

Subtracting from 1123023220 its reverse (223203211), we obtain a square (899820009 = 299972).

The spelling of 1123023220 in words is "one billion, one hundred twenty-three million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 3170 3487 6340 6974 13948 16103 17435 32206 34870 64412 69740 80515 161030 177133 322060 354266 708532 885665 1771330 3542660 5104651 10209302 20418604 25523255 51046510 56151161 102093020 112302322 224604644 280755805 561511610 1123023220