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12110202006 = 23723107117163
BaseRepresentation
bin10110100011101001…
…10000010010010110
31011020222111000002020
423101310300102112
5144300202431011
65321403354010
7606050006250
oct132164602226
934228430066
1012110202006
115154991011
12241b822906
1311acc3ab06
1482c506cd0
154ad28d006
hex2d1d30496

12110202006 has 64 divisors (see below), whose sum is σ = 29154152448. Its totient is φ = 3278661408.

The previous prime is 12110202001. The next prime is 12110202019. The reversal of 12110202006 is 60020201121.

It is a super-2 number, since 2×121102020062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44781 + ... + 161943.

It is an arithmetic number, because the mean of its divisors is an integer number (455533632).

Almost surely, 212110202006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110202006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577076224).

12110202006 is an abundant number, since it is smaller than the sum of its proper divisors (17043950442).

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

12110202006 is a wasteful number, since it uses less digits than its factorization.

12110202006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117305.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12110202006 its reverse (60020201121), we get a palindrome (72130403127).

The spelling of 12110202006 in words is "twelve billion, one hundred ten million, two hundred two thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 107 138 161 214 321 322 483 642 749 966 1498 2247 2461 4494 4922 7383 14766 17227 34454 51681 103362 117163 234326 351489 702978 820141 1640282 2460423 2694749 4920846 5389498 8084247 12536441 16168494 18863243 25072882 37609323 37726486 56589729 75218646 87755087 113179458 175510174 263265261 288338143 526530522 576676286 865014429 1730028858 2018367001 4036734002 6055101003 12110202006