Search a number
-
+
210122200202222 = 271119711523664109
BaseRepresentation
bin101111110001101011100011…
…000110100011101111101110
31000112222111010102002202221102
4233301223203012203233232
5210020120231222432342
62022520450045003102
762154554000365220
oct5761534306435756
91015874112082842
10210122200202222
1160a51363159a30
121b69710b853492
1390325913a4169
1439c5d7c38a410
151945b621e4832
hexbf1ae31a3bee

210122200202222 has 128 divisors (see below), whose sum is σ = 419739621580800. Its totient is φ = 76414391625600.

The previous prime is 210122200202129. The next prime is 210122200202231. The reversal of 210122200202222 is 222202002221012.

It is a junction number, because it is equal to n+sod(n) for n = 210122200202194 and 210122200202203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316065104 + ... + 316729212.

It is an arithmetic number, because the mean of its divisors is an integer number (3279215793600).

Almost surely, 2210122200202222 is an apocalyptic number.

210122200202222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210122200202222 is a deficient number, since it is larger than the sum of its proper divisors (209617421378578).

210122200202222 is a wasteful number, since it uses less digits than its factorization.

210122200202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665742.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 210122200202222 its reverse (222202002221012), we get a palindrome (432324202423234).

The spelling of 210122200202222 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 71 77 133 142 154 209 266 418 497 781 994 1349 1463 1523 1562 2698 2926 3046 5467 9443 10661 10934 14839 16753 18886 21322 28937 29678 33506 57874 103873 108133 117271 202559 207746 216266 234542 318307 405118 636614 664109 756931 1189463 1328218 1513862 2054527 2228149 2378926 4109054 4456298 4648763 7305199 8326241 9297526 12618071 14381689 14610398 16652482 22599797 25236142 28763378 45199594 47151739 51136393 88326497 94303478 102272786 138798781 158198579 176652994 277597562 316397158 330062173 518669129 660124346 895883041 971591467 1011438007 1037338258 1791766082 1943182934 2022876014 3630683903 6271181287 7080066049 7261367806 9854713451 11125818077 12542362574 14160132098 19217322133 19709426902 22251636154 38434644266 68982994157 71812098497 77880726539 134521254931 137965988314 143624196994 155761453078 211390543463 269042509862 422781086926 502684689479 789933083467 1005369378958 1364429871443 1479733804241 1579866166934 2728859742886 2959467608482 5529531584269 9551009100101 11059063168538 15008728585873 19102018200202 30017457171746 105061100101111 210122200202222