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11103321000 = 233534498243
BaseRepresentation
bin10100101011100111…
…10011101110101000
31001122210212011000010
422111303303232220
5140214422233000
65033434411520
7542102446152
oct122563635650
931583764003
1011103321000
114788598452
12219a590ba0
13107c461935
147748c7ad2
1544eb9cd50
hex295cf3ba8

11103321000 has 128 divisors (see below), whose sum is σ = 34723728000. Its totient is φ = 2953932800.

The previous prime is 11103320989. The next prime is 11103321007. The reversal of 11103321000 is 12330111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11103321007) 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 31 ways as a sum of consecutive naturals, for example, 1342879 + ... + 1351121.

It is an arithmetic number, because the mean of its divisors is an integer number (271279125).

Almost surely, 211103321000 is an apocalyptic number.

11103321000 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 11103321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361864000).

11103321000 is an abundant number, since it is smaller than the sum of its proper divisors (23620407000).

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

11103321000 is a wasteful number, since it uses less digits than its factorization.

11103321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11103321000 its reverse (12330111), we get a palindrome (11115651111).

The spelling of 11103321000 in words is "eleven billion, one hundred three million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 449 500 600 750 898 1000 1347 1500 1796 2245 2694 3000 3592 4490 5388 6735 8243 8980 10776 11225 13470 16486 17960 22450 24729 26940 32972 33675 41215 44900 49458 53880 56125 65944 67350 82430 89800 98916 112250 123645 134700 164860 168375 197832 206075 224500 247290 269400 329720 336750 412150 449000 494580 618225 673500 824300 989160 1030375 1236450 1347000 1648600 2060750 2472900 3091125 3701107 4121500 4945800 6182250 7402214 8243000 11103321 12364500 14804428 18505535 22206642 24729000 29608856 37011070 44413284 55516605 74022140 88826568 92527675 111033210 148044280 185055350 222066420 277583025 370110700 444132840 462638375 555166050 740221400 925276750 1110332100 1387915125 1850553500 2220664200 2775830250 3701107000 5551660500 11103321000