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11320002100 = 225211292331523
BaseRepresentation
bin10101000101011100…
…11000011000110100
31002012220120200121001
422202232120120310
5141140410031400
65111134533044
7550343300401
oct124256303064
932186520531
1011320002100
114889934140
12223b067184
1310b53097c4
147955ad2a8
15463beea6a
hex2a2b98634

11320002100 has 144 divisors (see below), whose sum is σ = 27858841920. Its totient is φ = 3954764800.

The previous prime is 11320002091. The next prime is 11320002103. The reversal of 11320002100 is 120002311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320002103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7431939 + ... + 7433461.

It is an arithmetic number, because the mean of its divisors is an integer number (193464180).

Almost surely, 211320002100 is an apocalyptic number.

11320002100 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 11320002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929420960).

11320002100 is an abundant number, since it is smaller than the sum of its proper divisors (16538839820).

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

11320002100 is a wasteful number, since it uses less digits than its factorization.

11320002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11320002100 its reverse (120002311), we get a palindrome (11440004411).

The spelling of 11320002100 in words is "eleven billion, three hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 233 275 290 319 466 550 580 638 725 932 1100 1165 1276 1450 1523 1595 2330 2563 2900 3046 3190 4660 5126 5825 6092 6380 6757 7615 7975 10252 11650 12815 13514 15230 15950 16753 23300 25630 27028 30460 31900 33506 33785 38075 44167 51260 64075 67012 67570 74327 76150 83765 88334 128150 135140 148654 152300 167530 168925 176668 220835 256300 297308 335060 337850 354859 371635 418825 441670 485837 675700 709718 743270 837650 883340 971674 1104175 1419436 1486540 1675300 1774295 1858175 1943348 2208350 2429185 3548590 3716350 3903449 4416700 4858370 7097180 7432700 7806898 8871475 9716740 10290911 12145925 15613796 17742950 19517245 20581822 24291850 35485900 39034490 41163644 48583700 51454555 78068980 97586225 102909110 113200021 195172450 205818220 226400042 257272775 390344900 452800084 514545550 566000105 1029091100 1132000210 2264000420 2830000525 5660001050 11320002100