Search a number
-
+
20110222122012 = 22331161277504859
BaseRepresentation
bin1001001001010010001101…
…01001010101110000011100
32122012111222221211110011000
410210221012221111300130
510113441213330401022
6110434301500430300
74143626023424241
oct444510651256034
978174887743130
1020110222122012
11645377412a760
1223095b4848390
13b2b502812189
144d74a8b415c8
1524d1a67076ac
hex124a46a55c1c

20110222122012 has 96 divisors (see below), whose sum is σ = 57809812435200. Its totient is φ = 5994104932800.

The previous prime is 20110222121999. The next prime is 20110222122031. The reversal of 20110222122012 is 21022122201102.

It is a happy number.

20110222122012 is a `hidden beast` number, since 201 + 10 + 2 + 221 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 138679962 + ... + 138824897.

It is an arithmetic number, because the mean of its divisors is an integer number (602185546200).

Almost surely, 220110222122012 is an apocalyptic number.

20110222122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20110222122012 is an abundant number, since it is smaller than the sum of its proper divisors (37699590313188).

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

20110222122012 is a wasteful number, since it uses less digits than its factorization.

20110222122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277504944 (or 277504936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20110222122012 its reverse (21022122201102), we get a palindrome (41132344323114).

The spelling of 20110222122012 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468 277504859 555009718 832514577 1110019436 1665029154 2497543731 3052553449 3330058308 4995087462 6105106898 7492631193 9157660347 9990174924 12210213796 14985262386 16927796399 18315320694 27472981041 29970524772 33855592798 36630641388 50783389197 54945962082 67711185596 82418943123 101566778394 109891924164 152350167591 164837886246 186205760389 203133556788 304700335182 329675772492 372411520778 457050502773 558617281167 609400670364 744823041556 914101005546 1117234562334 1675851843501 1828202011092 2234469124668 3351703687002 5027555530503 6703407374004 10055111061006 20110222122012