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1123036420 = 22511191731553
BaseRepresentation
bin100001011110000…
…0010110100000100
32220021012011100111
41002330002310010
54244444131140
6303234322404
736554436442
oct10274026404
92807164314
101123036420
11526a19980
12274129404
1314b8881bc
14a9217b92
15688d67ea
hex42f02d04

1123036420 has 96 divisors (see below), whose sum is σ = 2725591680. Its totient is φ = 384399360.

The previous prime is 1123036417. The next prime is 1123036441. The reversal of 1123036420 is 246303211.

It is a super-2 number, since 2×11230364202 = 2522421601292832800, which contains 22 as substring.

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 = 1123036391 and 1123036400.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 722364 + ... + 723916.

It is an arithmetic number, because the mean of its divisors is an integer number (28391580).

Almost surely, 21123036420 is an apocalyptic number.

1123036420 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 1123036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362795840).

1123036420 is an abundant number, since it is smaller than the sum of its proper divisors (1602555260).

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

1123036420 is a wasteful number, since it uses less digits than its factorization.

1123036420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1123036420 is about 33511.7355563689. The cubic root of 1123036420 is about 1039.4364612124.

Adding to 1123036420 its reverse (246303211), we get a palindrome (1369339631).

The spelling of 1123036420 in words is "one billion, one hundred twenty-three million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 173 190 209 220 346 380 418 692 836 865 1045 1553 1730 1903 2090 3106 3287 3460 3806 4180 6212 6574 7612 7765 9515 13148 15530 16435 17083 19030 29507 31060 32870 34166 36157 38060 59014 65740 68332 72314 85415 118028 144628 147535 170830 180785 268669 295070 324577 341660 361570 537338 590140 649154 723140 1074676 1298308 1343345 1622885 2686690 2955359 3245770 5104711 5373380 5910718 6491540 10209422 11821436 14776795 20418844 25523555 29553590 51047110 56151821 59107180 102094220 112303642 224607284 280759105 561518210 1123036420