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11113103100 = 223521112792633
BaseRepresentation
bin10100101100110010…
…00111111011111100
31001200111021010112010
422112121013323330
5140224423244400
65034424211220
7542251550331
oct122631077374
931614233463
1011113103100
114793069930
1221a1909b10
1310814a8268
14775d12988
15450981450
hex296647efc

11113103100 has 144 divisors (see below), whose sum is σ = 35117752320. Its totient is φ = 2690956800.

The previous prime is 11113103083. The next prime is 11113103129. The reversal of 11113103100 is 130131111.

It is a super-2 number, since 2×111131031002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4219384 + ... + 4222016.

It is an arithmetic number, because the mean of its divisors is an integer number (243873280).

Almost surely, 211113103100 is an apocalyptic number.

11113103100 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 11113103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558876160).

11113103100 is an abundant number, since it is smaller than the sum of its proper divisors (24004649220).

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

11113103100 is a wasteful number, since it uses less digits than its factorization.

11113103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11113103100 its reverse (130131111), we get a palindrome (11243234211).

The spelling of 11113103100 in words is "eleven billion, one hundred thirteen million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1279 1650 2558 2633 3300 3837 5116 5266 6395 7674 7899 10532 12790 13165 14069 15348 15798 19185 25580 26330 28138 28963 31596 31975 38370 39495 42207 52660 56276 57926 63950 65825 70345 76740 78990 84414 86889 95925 115852 127900 131650 140690 144815 157980 168828 173778 191850 197475 211035 263300 281380 289630 347556 351725 383700 394950 422070 434445 579260 703450 724075 789900 844140 868890 1055175 1406900 1448150 1737780 2110350 2172225 2896300 3367607 4220700 4344450 6735214 8688900 10102821 13470428 16838035 20205642 33676070 37043677 40411284 50514105 67352140 74087354 84190175 101028210 111131031 148174708 168380350 185218385 202056420 222262062 252570525 336760700 370436770 444524124 505141050 555655155 740873540 926091925 1010282100 1111310310 1852183850 2222620620 2778275775 3704367700 5556551550 11113103100