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110012020000 = 255441134161
BaseRepresentation
bin110011001110100111…
…0100011010100100000
3101111221221000122201021
41212131032203110200
53300301034120000
6122312215215224
710643125512121
oct1463516432440
9344857018637
10110012020000
1142723a0a9a3
12193a2977514
13a4b2b4802c
145478a32048
152cdd1be11a
hex199d3a3520

110012020000 has 120 divisors (see below), whose sum is σ = 277249261212. Its totient is φ = 42931200000.

The previous prime is 110012019989. The next prime is 110012020003. The reversal of 110012020000 is 20210011.

It can be written as a sum of positive squares in 10 ways, for example, as 44236184976 + 65775835024 = 210324^2 + 256468^2 .

It is not an unprimeable number, because it can be changed into a prime (110012020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 752920 + ... + 887080.

Almost surely, 2110012020000 is an apocalyptic number.

110012020000 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 110012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138624630606).

110012020000 is an abundant number, since it is smaller than the sum of its proper divisors (167237241212).

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

110012020000 is an equidigital number, since it uses as much as digits as its factorization.

110012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134232 (or 134209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 110012020000 its reverse (20210011), we get a palindrome (110032230011).

The spelling of 110012020000 in words is "one hundred ten billion, twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3280 4000 4100 5000 5125 6560 8200 10000 10250 16400 20000 20500 25625 32800 41000 51250 82000 102500 134161 164000 205000 268322 410000 536644 670805 820000 1073288 1341610 2146576 2683220 3354025 4293152 5366440 5500601 6708050 10732880 11001202 13416100 16770125 21465760 22002404 26832200 27503005 33540250 44004808 53664400 55006010 67080500 83850625 88009616 107328800 110012020 134161000 137515025 167701250 176019232 220024040 268322000 275030050 335402500 440048080 536644000 550060100 670805000 687575125 880096160 1100120200 1341610000 1375150250 2200240400 2683220000 2750300500 3437875625 4400480800 5500601000 6875751250 11001202000 13751502500 22002404000 27503005000 55006010000 110012020000