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11100103000 = 2353711314033
BaseRepresentation
bin10100101011001111…
…00010000101011000
31001122120210122201221
422111213202011120
5140213111244000
65033241421424
7542033214220
oct122547420530
931576718657
1011100103000
11478679a748
12219949a874
13107b8a5cac
147742cb080
1544e76461a
hex2959e2158

11100103000 has 128 divisors (see below), whose sum is σ = 29949678720. Its totient is φ = 3771801600.

The previous prime is 11100102997. The next prime is 11100103037. The reversal of 11100103000 is 30100111.

It is a happy number.

It is a super-2 number, since 2×111001030002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783984 + ... + 798016.

It is an arithmetic number, because the mean of its divisors is an integer number (233981865).

Almost surely, 211100103000 is an apocalyptic number.

11100103000 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 11100103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974839360).

11100103000 is an abundant number, since it is smaller than the sum of its proper divisors (18849575720).

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

11100103000 is a wasteful number, since it uses less digits than its factorization.

11100103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14174 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11100103000 its reverse (30100111), we get a palindrome (11130203111).

The spelling of 11100103000 in words is "eleven billion, one hundred million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 700 791 875 904 1000 1130 1400 1582 1750 2260 2825 3164 3500 3955 4520 5650 6328 7000 7910 11300 14033 14125 15820 19775 22600 28066 28250 31640 39550 56132 56500 70165 79100 98231 98875 112264 113000 140330 158200 196462 197750 280660 350825 392924 395500 491155 561320 701650 785848 791000 982310 1403300 1585729 1754125 1964620 2455775 2806600 3171458 3508250 3929240 4911550 6342916 7016500 7928645 9823100 11100103 12278875 12685832 14033000 15857290 19646200 22200206 24557750 31714580 39643225 44400412 49115500 55500515 63429160 79286450 88800824 98231000 111001030 158572900 198216125 222002060 277502575 317145800 396432250 444004120 555005150 792864500 1110010300 1387512875 1585729000 2220020600 2775025750 5550051500 11100103000