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20111222106 = 23319193110151
BaseRepresentation
bin10010101110101110…
…001110010101011010
31220220120210221022000
4102232232032111122
5312141433101411
613123341141430
71311242365413
oct225656162532
956816727260
1020111222106
118590295918
123a9325a876
131b8674a331
14d8ad9880a
157ca8da956
hex4aeb8e55a

20111222106 has 64 divisors (see below), whose sum is σ = 47072793600. Its totient is φ = 6346998000.

The previous prime is 20111222083. The next prime is 20111222107. The reversal of 20111222106 is 60122211102.

It is a super-2 number, since 2×201112221062 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20111222107) by changing a digit.

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, 1976131 + ... + 1986281.

It is an arithmetic number, because the mean of its divisors is an integer number (735512400).

Almost surely, 220111222106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111222106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23536396800).

20111222106 is an abundant number, since it is smaller than the sum of its proper divisors (26961571494).

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

20111222106 is a wasteful number, since it uses less digits than its factorization.

20111222106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20111222106 its reverse (60122211102), we get a palindrome (80233433208).

The spelling of 20111222106 in words is "twenty billion, one hundred eleven million, two hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1931 3862 5793 10151 11586 17379 20302 30453 34758 36689 52137 60906 73378 91359 104274 110067 182718 192869 220134 274077 330201 385738 548154 578607 660402 990603 1157214 1735821 1981206 3471642 5207463 10414926 19601581 39203162 58804743 117609486 176414229 352828458 372430039 529242687 744860078 1058485374 1117290117 2234580234 3351870351 6703740702 10055611053 20111222106