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11103311320 = 23517531911613
BaseRepresentation
bin10100101011100111…
…10001010111011000
31001122210211122201121
422111303301113120
5140214421430240
65033434255024
7542102406013
oct122563612730
931583748647
1011103311320
114788591152
12219a587474
13107c45a3ca
147748c437a
1544eb9a04a
hex295cf15d8

11103311320 has 128 divisors (see below), whose sum is σ = 27109002240. Its totient is φ = 4077199360.

The previous prime is 11103311309. The next prime is 11103311321. The reversal of 11103311320 is 2311330111.

It is a junction number, because it is equal to n+sod(n) for n = 11103311294 and 11103311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103311321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6882834 + ... + 6884446.

It is an arithmetic number, because the mean of its divisors is an integer number (211789080).

Almost surely, 211103311320 is an apocalyptic number.

11103311320 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 11103311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554501120).

11103311320 is an abundant number, since it is smaller than the sum of its proper divisors (16005690920).

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

11103311320 is a wasteful number, since it uses less digits than its factorization.

11103311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11103311320 its reverse (2311330111), we get a palindrome (13414641431).

The spelling of 11103311320 in words is "eleven billion, one hundred three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 191 212 265 340 382 424 530 680 764 901 955 1060 1528 1613 1802 1910 2120 3226 3247 3604 3820 4505 6452 6494 7208 7640 8065 9010 10123 12904 12988 16130 16235 18020 20246 25976 27421 32260 32470 36040 40492 50615 54842 64520 64940 80984 85489 101230 109684 129880 137105 170978 172091 202460 219368 274210 308083 341956 344182 404920 427445 548420 616166 683912 688364 854890 860455 1096840 1232332 1376728 1453313 1540415 1709780 1720910 2464664 2906626 3080830 3419560 3441820 5237411 5813252 6161660 6883640 7266565 10474822 11626504 12323320 14533130 16328399 20949644 26187055 29066260 32656798 41899288 52374110 58132520 65313596 81641995 104748220 130627192 163283990 209496440 277582783 326567980 555165566 653135960 1110331132 1387913915 2220662264 2775827830 5551655660 11103311320