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212121020230112 = 2572815935682961
BaseRepresentation
bin110000001110110001000110…
…000011110110100111100000
31000211001120102121121211110202
4300032301012003312213200
5210300342322134330422
62031051015035044332
762452144424321330
oct6016610603664740
91024046377554422
10212121020230112
1161652023a33254
121b95a5845a06a8
139148c07337086
143a549d82410c0
15197cb4b7e0b92
hexc0ec460f69e0

212121020230112 has 96 divisors (see below), whose sum is σ = 479778565742784. Its totient is φ = 90432715161600.

The previous prime is 212121020230039. The next prime is 212121020230169. The reversal of 212121020230112 is 211032020121212.

It is a super-3 number, since 3×2121210202301123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34484312 + ... + 40167272.

It is an arithmetic number, because the mean of its divisors is an integer number (4997693393154).

Almost surely, 2212121020230112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121020230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239889282871392).

212121020230112 is an abundant number, since it is smaller than the sum of its proper divisors (267657545512672).

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

212121020230112 is a wasteful number, since it uses less digits than its factorization.

212121020230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683852 (or 5683844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212121020230112 its reverse (211032020121212), we get a palindrome (423153040351324).

The spelling of 212121020230112 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 281 562 593 1124 1186 1967 2248 2372 3934 4151 4496 4744 7868 8302 8992 9488 15736 16604 18976 31472 33208 62944 66416 132832 166633 333266 666532 1166431 1333064 2332862 2666128 4665724 5332256 5682961 9331448 11365922 18662896 22731844 37325792 39780727 45463688 79561454 90927376 159122908 181854752 318245816 636491632 1272983264 1596912041 3193824082 3369995873 6387648164 6739991746 11178384287 12775296328 13479983492 22356768574 23589971111 25550592656 26959966984 44713537148 47179942222 51101185312 53919933968 89427074296 94359884444 107839867936 178854148592 188719768888 357708297184 377439537776 754879075552 946968840313 1893937680626 3787875361252 6628781882191 7575750722504 13257563764382 15151501445008 26515127528764 30303002890016 53030255057528 106060510115056 212121020230112