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1109538100 = 2252111915281
BaseRepresentation
bin100001000100010…
…0011010100110100
32212022210101010201
41002020203110310
54233020204400
6302033130244
736331626646
oct10210432464
92768711121
101109538100
1151a33a440
1226b6b9984
13148b40228
14a7502896
156761c06a
hex42223534

1109538100 has 72 divisors (see below), whose sum is σ = 2640830976. Its totient is φ = 401280000.

The previous prime is 1109538097. The next prime is 1109538103. The reversal of 1109538100 is 18359011.

It is an interprime number because it is at equal distance from previous prime (1109538097) and next prime (1109538103).

It is a super-2 number, since 2×11095381002 = 2462149590703220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109538103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207460 + ... + 212740.

It is an arithmetic number, because the mean of its divisors is an integer number (36678208).

Almost surely, 21109538100 is an apocalyptic number.

1109538100 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 1109538100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320415488).

1109538100 is an abundant number, since it is smaller than the sum of its proper divisors (1531292876).

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

1109538100 is a wasteful number, since it uses less digits than its factorization.

1109538100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 1109538100 is about 33309.7298097718. The cubic root of 1109538100 is about 1035.2551666913.

Subtracting from 1109538100 its reverse (18359011), we obtain a square (1091179089 = 330332).

The spelling of 1109538100 in words is "one billion, one hundred nine million, five hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 191 220 275 382 550 764 955 1100 1910 2101 3820 4202 4775 5281 8404 9550 10505 10562 19100 21010 21124 26405 42020 52525 52810 58091 105050 105620 116182 132025 210100 232364 264050 290455 528100 580910 1008671 1161820 1452275 2017342 2904550 4034684 5043355 5809100 10086710 11095381 20173420 22190762 25216775 44381524 50433550 55476905 100867100 110953810 221907620 277384525 554769050 1109538100