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11020112122112 = 28172666994949
BaseRepresentation
bin1010000001011101000111…
…0111100101000100000000
31110000111211120011100011222
42200113101313211010000
52421023142200401422
635234323012054212
72215114436331002
oct240272167450400
943014746140158
1011020112122112
11356966aaa9a35
12129b931304368
1361c2660c7c22
142a153a6c6372
151419d21c1842
hexa05d1de5100

11020112122112 has 72 divisors (see below), whose sum is σ = 23292247167000. Its totient is φ = 5185686044672.

The previous prime is 11020112122093. The next prime is 11020112122183. The reversal of 11020112122112 is 21122121102011.

It can be written as a sum of positive squares in 4 ways, for example, as 4358675009536 + 6661437112576 = 2087744^2 + 2580976^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 116016014 + ... + 116110962.

It is an arithmetic number, because the mean of its divisors is an integer number (323503432875).

Almost surely, 211020112122112 is an apocalyptic number.

It is an amenable number.

11020112122112 is an abundant number, since it is smaller than the sum of its proper divisors (12272135044888).

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

11020112122112 is an equidigital number, since it uses as much as digits as its factorization.

11020112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121651 (or 121637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11020112122112 its reverse (21122121102011), we get a palindrome (32142233224123).

The spelling of 11020112122112 in words is "eleven trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 26669 53338 94949 106676 189898 213352 379796 426704 453373 759592 853408 906746 1519184 1614133 1706816 1813492 3038368 3228266 3413632 3626984 6076736 6456532 6827264 7253968 12153472 12913064 14507936 24306944 25826128 29015872 51652256 58031744 103304512 116063488 206609024 413218048 2532194881 5064389762 10128779524 20257559048 40515118096 43047312977 81030236192 86094625954 162060472384 172189251908 324120944768 344378503816 648241889536 688757007632 1377514015264 2755028030528 5510056061056 11020112122112