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1123112320 = 27511214503
BaseRepresentation
bin100001011110001…
…0101010110000000
32220021100000110121
41002330111112000
54300004043240
6303240110024
736555203641
oct10274252600
92807300417
101123112320
11526a70a00
12274165314
1314b8b3905
14a92376c8
15688ee04a
hex42f15580

1123112320 has 96 divisors (see below), whose sum is σ = 2951418960. Its totient is φ = 408376320.

The previous prime is 1123112281. The next prime is 1123112323. The reversal of 1123112320 is 232113211.

It is a super-2 number, since 2×11231123202 = 2522762566671564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1123112294 and 1123112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123112323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70189 + ... + 84691.

Almost surely, 21123112320 is an apocalyptic number.

1123112320 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 1123112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475709480).

1123112320 is an abundant number, since it is smaller than the sum of its proper divisors (1828306640).

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

1123112320 is a wasteful number, since it uses less digits than its factorization.

1123112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14544 (or 14521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1123112320 is about 33512.8679763460. The cubic root of 1123112320 is about 1039.4598773275.

Adding to 1123112320 its reverse (232113211), we get a palindrome (1355225531).

The spelling of 1123112320 in words is "one billion, one hundred twenty-three million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 14503 15488 19360 29006 38720 58012 72515 77440 116024 145030 159533 232048 290060 319066 464096 580120 638132 797665 928192 1160240 1276264 1595330 1754863 1856384 2320480 2552528 3190660 3509726 4640960 5105056 6381320 7019452 8774315 9281920 10210112 12762640 14038904 17548630 20420224 25525280 28077808 35097260 51050560 56155616 70194520 102101120 112311232 140389040 224622464 280778080 561556160 1123112320