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11052123320 = 2357471914397
BaseRepresentation
bin10100100101100001…
…00000010010111000
31001112020112000222202
422102300200102320
5140113320421240
65024405205332
7540611332610
oct122260402270
931466460882
1011052123320
1147616a9917
122185400848
131071977354
1476bb9ba40
1544a438315
hex292c204b8

11052123320 has 128 divisors (see below), whose sum is σ = 29183016960. Its totient is φ = 3688419840.

The previous prime is 11052123307. The next prime is 11052123331. The reversal of 11052123320 is 2332125011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11052123292 and 11052123301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2511362 + ... + 2515758.

It is an arithmetic number, because the mean of its divisors is an integer number (227992320).

Almost surely, 211052123320 is an apocalyptic number.

11052123320 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 11052123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591508480).

11052123320 is an abundant number, since it is smaller than the sum of its proper divisors (18130893640).

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

11052123320 is a wasteful number, since it uses less digits than its factorization.

11052123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11052123320 its reverse (2332125011), we get a palindrome (13384248331).

The spelling of 11052123320 in words is "eleven billion, fifty-two million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 191 235 280 329 376 382 470 658 764 940 955 1316 1337 1528 1645 1880 1910 2632 2674 3290 3820 4397 5348 6580 6685 7640 8794 8977 10696 13160 13370 17588 17954 21985 26740 30779 35176 35908 43970 44885 53480 61558 62839 71816 87940 89770 123116 125678 153895 175880 179540 206659 246232 251356 307790 314195 359080 413318 502712 615580 628390 826636 839827 1033295 1231160 1256780 1446613 1653272 1679654 2066590 2513560 2893226 3359308 4133180 4199135 5786452 5878789 6718616 7233065 8266360 8398270 11572904 11757578 14466130 16796540 23515156 28932260 29393945 33593080 39471869 47030312 57864520 58787890 78943738 117575780 157887476 197359345 235151560 276303083 315774952 394718690 552606166 789437380 1105212332 1381515415 1578874760 2210424664 2763030830 5526061660 11052123320