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13030110000 = 243254144779
BaseRepresentation
bin11000010001010011…
…11011001100110000
31020122002110011121200
430020221323030300
5203141202010000
65552544251200
7640620051615
oct141051731460
936562404550
1013030110000
115587180556
122637910b00
1312c86b4a7b
148b876650c
15513ded500
hex308a7b330

13030110000 has 150 divisors (see below), whose sum is σ = 45568491540. Its totient is φ = 3474672000.

The previous prime is 13030109993. The next prime is 13030110013. The reversal of 13030110000 is 1103031.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×130301100002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 17611 + ... + 162389.

Almost surely, 213030110000 is an apocalyptic number.

13030110000 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 13030110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22784245770).

13030110000 is an abundant number, since it is smaller than the sum of its proper divisors (32538381540).

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

13030110000 is a wasteful number, since it uses less digits than its factorization.

13030110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144813 (or 144789 counting only the distinct ones).

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

Adding to 13030110000 its reverse (1103031), we get a palindrome (13031213031).

The spelling of 13030110000 in words is "thirteen billion, thirty million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 144779 289558 434337 579116 723895 868674 1158232 1303011 1447790 1737348 2171685 2316464 2606022 2895580 3474696 3619475 4343370 5212044 5791160 6515055 6949392 7238950 8686740 10424088 10858425 11582320 13030110 14477900 17373480 18097375 20848176 21716850 26060220 28955800 32575275 34746960 36194750 43433700 52120440 54292125 57911600 65150550 72389500 86867400 90486875 104240880 108584250 130301100 144779000 162876375 173734800 180973750 217168500 260602200 271460625 289558000 325752750 361947500 434337000 521204400 542921250 651505500 723895000 814381875 868674000 1085842500 1303011000 1447790000 1628763750 2171685000 2606022000 3257527500 4343370000 6515055000 13030110000