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21220210110 = 235111132392381
BaseRepresentation
bin10011110000110100…
…101011010110111110
32000202212120100211210
4103300310223112332
5321424333210420
613425354425250
71350566544531
oct236064532676
960685510753
1021220210110
118aaa289a30
124142732226
132002427058
141054396a18
15842e499e0
hex4f0d2b5be

21220210110 has 128 divisors (see below), whose sum is σ = 56308193280. Its totient is φ = 5075302400.

The previous prime is 21220210087. The next prime is 21220210133. The reversal of 21220210110 is 1101202212.

It is an interprime number because it is at equal distance from previous prime (21220210087) and next prime (21220210133).

It is a super-2 number, since 2×212202101102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8911120 + ... + 8913500.

It is an arithmetic number, because the mean of its divisors is an integer number (439907760).

Almost surely, 221220210110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28154096640).

21220210110 is an abundant number, since it is smaller than the sum of its proper divisors (35087983170).

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

21220210110 is a wasteful number, since it uses less digits than its factorization.

21220210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754.

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

Adding to 21220210110 its reverse (1101202212), we get a palindrome (22321412322).

The spelling of 21220210110 in words is "twenty-one billion, two hundred twenty million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 239 330 339 478 565 678 717 1130 1195 1243 1434 1695 2381 2390 2486 2629 3390 3585 3729 4762 5258 6215 7143 7170 7458 7887 11905 12430 13145 14286 15774 18645 23810 26191 26290 27007 35715 37290 39435 52382 54014 71430 78573 78870 81021 130955 135035 157146 162042 261910 269053 270070 297077 392865 405105 538106 569059 594154 785730 807159 810210 891231 1138118 1345265 1485385 1614318 1707177 1782462 2690530 2845295 2959583 2970770 3414354 4035795 4456155 5690590 5919166 6259649 8071590 8535885 8878749 8912310 12519298 14797915 17071770 17757498 18778947 29595830 31298245 37557894 44393745 62596490 64303667 88787490 93894735 128607334 187789470 192911001 321518335 385822002 643036670 707340337 964555005 1414680674 1929110010 2122021011 3536701685 4244042022 7073403370 10610105055 21220210110