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20110122012112 = 2411265315907289
BaseRepresentation
bin1001001001010010000001…
…01011011100110111010000
32122012111201222110100011221
410210221000223130313100
510113441012213341422
6110434243523014424
74143623366463526
oct444510053346720
978174658410157
1020110122012112
116453722673700
12230958720a414
13b2b4b7b60652
144d7499722316
1524d19ca303c7
hex124a40adcdd0

20110122012112 has 60 divisors (see below), whose sum is σ = 42893084862180. Its totient is φ = 9126965562880.

The previous prime is 20110122012077. The next prime is 20110122012121. The reversal of 20110122012112 is 21121022101102.

It can be written as a sum of positive squares in 2 ways, for example, as 1607357409856 + 18502764602256 = 1267816^2 + 4301484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 6689437 + ... + 9217852.

It is an arithmetic number, because the mean of its divisors is an integer number (714884747703).

Almost surely, 220110122012112 is an apocalyptic number.

20110122012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20110122012112 is an abundant number, since it is smaller than the sum of its proper divisors (22782962850068).

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

20110122012112 is a wasteful number, since it uses less digits than its factorization.

20110122012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15907972 (or 15907955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20110122012112 its reverse (21121022101102), we get a palindrome (41231144113214).

The spelling of 20110122012112 in words is "twenty trillion, one hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 653 968 1306 1936 2612 5224 7183 10448 14366 28732 57464 79013 114928 158026 316052 632104 1264208 15907289 31814578 63629156 127258312 174980179 254516624 349960358 699920716 1399841432 1924781969 2799682864 3849563938 7699127876 10387459717 15398255752 20774919434 30796511504 41549838868 83099677736 114262056887 166199355472 228524113774 457048227548 914096455096 1256882625757 1828192910192 2513765251514 5027530503028 10055061006056 20110122012112