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20111110222122 = 232232291229172603
BaseRepresentation
bin1001001001010011110111…
…00101001011000100101010
32122012121021211221121110200
410210221323211023010222
510114000023204101442
6110434525543453030
74143660026231343
oct444517345130452
978177254847420
1020111110222122
11645408a474497
122309802157176
13b2b6148002ba
144d7550a810ca
1524d20968334c
hex124a7b94b12a

20111110222122 has 96 divisors (see below), whose sum is σ = 45704572617600. Its totient is φ = 6379005384576.

The previous prime is 20111110222081. The next prime is 20111110222193. The reversal of 20111110222122 is 22122201111102.

20111110222122 is a `hidden beast` number, since 201 + 11 + 110 + 222 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20111110222095 and 20111110222104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116430273 + ... + 116602875.

It is an arithmetic number, because the mean of its divisors is an integer number (476089298100).

Almost surely, 220111110222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111110222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852286308800).

20111110222122 is an abundant number, since it is smaller than the sum of its proper divisors (25593462395478).

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

20111110222122 is a wasteful number, since it uses less digits than its factorization.

20111110222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174092 (or 174089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20111110222122 its reverse (22122201111102), we get a palindrome (42233311333224).

It can be divided in two parts, 201111102 and 22122, that multiplied together give a palindrome (4448979798444).

The spelling of 20111110222122 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 229 414 458 687 1229 1374 2061 2458 3687 4122 5267 7374 10534 11061 15801 22122 28267 31602 47403 56534 84801 94806 169602 172603 254403 281441 345206 508806 517809 562882 844323 1035618 1553427 1688646 2532969 3106854 3969869 5065938 6473143 7939738 11909607 12946286 19419429 23819214 35728821 38838858 39526087 58258287 71457642 79052174 116516574 118578261 212129087 237156522 355734783 424258174 636387261 711469566 909100001 1272774522 1818200002 1909161783 2727300003 3818323566 4878969001 5454600006 8181900009 9757938002 14636907003 16363800018 29273814006 43910721009 48577560923 87821442018 97155121846 145732682769 291465365538 437198048307 874396096614 1117283901229 2234567802458 3351851703687 6703703407374 10055555111061 20111110222122