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1102113000 = 23335340819
BaseRepresentation
bin100000110110000…
…1110100011101000
32211210211010211000
41001230032203220
54224120104000
6301210035000
736211543302
oct10154164350
92753733730
101102113000
1151612889a
12269118a60
13147440691
14a652c972
1566b52000
hex41b0e8e8

1102113000 has 128 divisors (see below), whose sum is σ = 3820752000. Its totient is φ = 293889600.

The previous prime is 1102112987. The next prime is 1102113029. The reversal of 1102113000 is 3112011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6591 + ... + 47409.

It is an arithmetic number, because the mean of its divisors is an integer number (29849625).

Almost surely, 21102113000 is an apocalyptic number.

1102113000 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 1102113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910376000).

1102113000 is an abundant number, since it is smaller than the sum of its proper divisors (2718639000).

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

1102113000 is a wasteful number, since it uses less digits than its factorization.

1102113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40849 (or 40829 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1102113000 is about 33198.0872943006. The cubic root of 1102113000 is about 1032.9406647711.

Adding to 1102113000 its reverse (3112011), we get a palindrome (1105225011).

The spelling of 1102113000 in words is "one billion, one hundred two million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 40819 81638 122457 163276 204095 244914 326552 367371 408190 489828 612285 734742 816380 979656 1020475 1102113 1224570 1469484 1632760 1836855 2040950 2204226 2449140 2938968 3061425 3673710 4081900 4408452 4898280 5102375 5510565 6122850 7347420 8163800 8816904 9184275 10204750 11021130 12245700 14694840 15307125 18368550 20409500 22042260 24491400 27552825 30614250 36737100 40819000 44084520 45921375 55105650 61228500 73474200 91842750 110211300 122457000 137764125 183685500 220422600 275528250 367371000 551056500 1102113000