Search a number
-
+
10000221210210 = 23571114159305749
BaseRepresentation
bin1001000110000101101110…
…1000100000011001100010
31022102000022121110220012010
42101201123220200121202
52302320423112211320
633134012130213350
72051330542531110
oct221413350403142
938360277426163
1010000221210210
113206085193580
121156139a24256
1357702ac2aa3a
14268028672ab0
151251de58bae0
hex9185ba20662

10000221210210 has 128 divisors (see below), whose sum is σ = 29924951040000. Its totient is φ = 2077814488320.

The previous prime is 10000221210193. The next prime is 10000221210229. The reversal of 10000221210210 is 1201212200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32554416 + ... + 32860164.

It is an arithmetic number, because the mean of its divisors is an integer number (233788680000).

Almost surely, 210000221210210 is an apocalyptic number.

10000221210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000221210210 is an abundant number, since it is smaller than the sum of its proper divisors (19924729829790).

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

10000221210210 is a wasteful number, since it uses less digits than its factorization.

10000221210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319936.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000221210210 its reverse (1201212200001), we get a palindrome (11201433410211).

The spelling of 10000221210210 in words is "ten trillion, two hundred twenty-one million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 14159 28318 42477 70795 84954 99113 141590 155749 198226 212385 297339 305749 311498 424770 467247 495565 594678 611498 778745 917247 934494 991130 1090243 1486695 1528745 1557490 1834494 2140243 2180486 2336235 2973390 3057490 3270729 3363239 4280486 4586235 4672470 5451215 6420729 6541458 6726478 9172470 10089717 10701215 10902430 12841458 16353645 16816195 20179434 21402430 23542673 32103645 32707290 33632390 47085346 50448585 64207290 70628019 100897170 117713365 141256038 235426730 353140095 706280190 4329100091 8658200182 12987300273 21645500455 25974600546 30303700637 43291000910 47620101001 60607401274 64936501365 90911101911 95240202002 129873002730 142860303003 151518503185 181822203822 238100505005 285720606006 303037006370 333340707007 454555509555 476201010010 666681414014 714301515015 909111019110 1000022121021 1428603030030 1666703535035 2000044242042 3333407070070 5000110605105 10000221210210