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21120212002110 = 23513193887316339
BaseRepresentation
bin1001100110101011011101…
…01110111110010100111110
32202210001221212222100212020
410303111232232332110332
510232013143233031420
6112530254053021010
74306612353646164
oct463255656762476
982701855870766
1021120212002110
116803039088401
1224512a4324766
13ba2820663b70
1453031bc35234
152695b9ecd340
hex13356ebbe53e

21120212002110 has 128 divisors (see below), whose sum is σ = 54932496675840. Its totient is φ = 5166037426176.

The previous prime is 21120212002093. The next prime is 21120212002133. The reversal of 21120212002110 is 1120021202112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21120212002110.

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, 66606321 + ... + 66922659.

It is an arithmetic number, because the mean of its divisors is an integer number (429160130280).

Almost surely, 221120212002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120212002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466248337920).

21120212002110 is an abundant number, since it is smaller than the sum of its proper divisors (33812284673730).

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

21120212002110 is a wasteful number, since it uses less digits than its factorization.

21120212002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317442.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21120212002110 its reverse (1120021202112), we get a palindrome (22240233204222).

The spelling of 21120212002110 in words is "twenty-one trillion, one hundred twenty billion, two hundred twelve million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 193 195 386 390 579 887 965 1158 1774 1930 2509 2661 2895 4435 5018 5322 5790 7527 8870 11531 12545 13305 15054 23062 25090 26610 34593 37635 57655 69186 75270 115310 171191 172965 316339 342382 345930 513573 632678 855955 949017 1027146 1581695 1711910 1898034 2225483 2567865 3163390 4112407 4450966 4745085 5135730 6676449 8224814 9490170 11127415 12337221 13352898 20562035 22254830 24674442 33382245 41124070 61053427 61686105 66764490 122106854 123372210 183160281 280592693 305267135 366320562 561185386 610534270 793694551 841778079 915801405 1402963465 1587389102 1683556158 1831602810 2381083653 2805926930 3647705009 3968472755 4208890395 4762167306 7295410018 7936945510 8417780790 10943115027 11905418265 18238525045 21886230054 23810836530 36477050090 54154389749 54715575135 108308779498 109431150270 162463169247 270771948745 324926338494 541543897490 704007066737 812315846235 1408014133474 1624631692470 2112021200211 3520035333685 4224042400422 7040070667370 10560106001055 21120212002110