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1100220012112 = 24138959432801
BaseRepresentation
bin10000000000101010001…
…110010001011001010000
310220011212020001112121111
4100000222032101121100
5121011222310341422
62201233433103104
7142326322541164
oct20005216213120
93804766045544
101100220012112
11394667572391
12159291557a94
137c99a54b360
143b3727b8ca4
151d944e5ea77
hex1002a391650

1100220012112 has 40 divisors (see below), whose sum is σ = 2321445246120. Its totient is φ = 502088294400.

The previous prime is 1100220012079. The next prime is 1100220012121. The reversal of 1100220012112 is 2112100220011.

It can be written as a sum of positive squares in 4 ways, for example, as 61565519376 + 1038654492736 = 248124^2 + 1019144^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1100220012092 and 1100220012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29697889 + ... + 29734912.

It is an arithmetic number, because the mean of its divisors is an integer number (58036131153).

Almost surely, 21100220012112 is an apocalyptic number.

It is an amenable number.

1100220012112 is an abundant number, since it is smaller than the sum of its proper divisors (1221225234008).

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

1100220012112 is a wasteful number, since it uses less digits than its factorization.

1100220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59432911 (or 59432905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1100220012112 its reverse (2112100220011), we get a palindrome (3212320232123).

The spelling of 1100220012112 in words is "one trillion, one hundred billion, two hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 9256 18512 59432801 118865602 237731204 475462408 772626413 950924816 1545252826 3090505652 5289519289 6181011304 10579038578 12362022608 21158077156 42316154312 68763750757 84632308624 137527501514 275055003028 550110006056 1100220012112