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1109796100 = 225272293773
BaseRepresentation
bin100001000100110…
…0010010100000100
32212100021111001021
41002021202110010
54233101433400
6302042440524
736334053100
oct10211422404
92770244037
101109796100
1151a4a6266
1226b803144
13148c007aa
14a756c900
156766d71a
hex42262504

1109796100 has 108 divisors (see below), whose sum is σ = 2814640164. Its totient is φ = 378712320.

The previous prime is 1109796053. The next prime is 1109796113. The reversal of 1109796100 is 16979011.

It can be written as a sum of positive squares in 6 ways, for example, as 19079424 + 1090716676 = 4368^2 + 33026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1435314 + ... + 1436086.

It is an arithmetic number, because the mean of its divisors is an integer number (26061483).

Almost surely, 21109796100 is an apocalyptic number.

1109796100 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 1109796100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407320082).

1109796100 is an abundant number, since it is smaller than the sum of its proper divisors (1704844064).

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

1109796100 is a wasteful number, since it uses less digits than its factorization.

1109796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The square root of 1109796100 is about 33313.6023269775. The cubic root of 1109796100 is about 1035.3354028224.

The spelling of 1109796100 in words is "one billion, one hundred nine million, seven hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 293 350 490 586 700 773 980 1172 1225 1465 1546 2051 2450 2930 3092 3865 4102 4900 5411 5860 7325 7730 8204 10255 10822 14357 14650 15460 19325 20510 21644 27055 28714 29300 37877 38650 41020 51275 54110 57428 71785 75754 77300 102550 108220 135275 143570 151508 189385 205100 226489 270550 287140 358925 378770 452978 541100 717850 757540 905956 946925 1132445 1435700 1585423 1893850 2264890 3170846 3787700 4529780 5662225 6341692 7927115 11097961 11324450 15854230 22195922 22648900 31708460 39635575 44391844 55489805 79271150 110979610 158542300 221959220 277449025 554898050 1109796100