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110012010100 = 225267127129289
BaseRepresentation
bin110011001110100111…
…0100000111001110100
3101111221221000011010121
41212131032200321310
53300301033310400
6122312215101324
710643125441216
oct1463516407164
9344857004117
10110012010100
1142723a03513
12193a2971844
13a4b2b43685
145478a2c5b6
152cdd1bb21a
hex199d3a0e74

110012010100 has 72 divisors (see below), whose sum is σ = 244198814720. Its totient is φ = 43006360320.

The previous prime is 110012010083. The next prime is 110012010131. The reversal of 110012010100 is 1010210011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786256 + ... + 915544.

Almost surely, 2110012010100 is an apocalyptic number.

110012010100 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 110012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122099407360).

110012010100 is an abundant number, since it is smaller than the sum of its proper divisors (134186804620).

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

110012010100 is a wasteful number, since it uses less digits than its factorization.

110012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129497 (or 129490 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110012010100 its reverse (1010210011), we get a palindrome (111022220111).

The spelling of 110012010100 in words is "one hundred ten billion, twelve million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 127 134 254 268 335 508 635 670 1270 1340 1675 2540 3175 3350 6350 6700 8509 12700 17018 34036 42545 85090 129289 170180 212725 258578 425450 517156 646445 850900 1292890 2585780 3232225 6464450 8662363 12928900 16419703 17324726 32839406 34649452 43311815 65678812 82098515 86623630 164197030 173247260 216559075 328394060 410492575 433118150 820985150 866236300 1100120101 1641970300 2200240202 4400480404 5500600505 11001201010 22002402020 27503002525 55006005050 110012010100