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210221201020112 = 24299713721340409
BaseRepresentation
bin101111110011000111110000…
…000000101101010011010000
31000120022221122221121102000022
4233303013300000231103100
5210023231004430120422
62023034141520043012
762164660222430312
oct5763076000552320
91016287587542008
10210221201020112
1160a8a34657a797
121b6b233aa63468
13903ba0aba1a89
1439caa908337b2
151948508860342
hexbf31f002d4d0

210221201020112 has 80 divisors (see below), whose sum is σ = 425724602662800. Its totient is φ = 100432233431040.

The previous prime is 210221201020099. The next prime is 210221201020151. The reversal of 210221201020112 is 211020102122012.

It can be written as a sum of positive squares in 8 ways, for example, as 141222633616 + 210079978386496 = 375796^2 + 14494136^2 .

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, 617384564 + ... + 617724972.

It is an arithmetic number, because the mean of its divisors is an integer number (5321557533285).

Almost surely, 2210221201020112 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 210221201020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212862301331400).

210221201020112 is an abundant number, since it is smaller than the sum of its proper divisors (215503401642688).

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

210221201020112 is a wasteful number, since it uses less digits than its factorization.

210221201020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354264 (or 354258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210221201020112 its reverse (211020102122012), we get a palindrome (421241303142124).

The spelling of 210221201020112 in words is "two hundred ten trillion, two hundred twenty-one billion, two hundred one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 97 116 194 232 388 464 776 1552 2813 5626 11252 13721 22504 27442 45008 54884 109768 219536 340409 397909 680818 795818 1330937 1361636 1591636 2661874 2723272 3183272 5323748 5446544 6366544 9871861 10647496 19743722 21294992 33019673 38597173 39487444 66039346 77194346 78974888 132078692 154388692 157949776 264157384 308777384 528314768 617554768 957570517 1915141034 3830282068 4670751889 7660564136 9341503778 15321128272 18683007556 37366015112 74732030224 135451804781 270903609562 453062933233 541807219124 906125866466 1083614438248 1812251732932 2167228876496 3624503465864 7249006931728 13138825063757 26277650127514 52555300255028 105110600510056 210221201020112