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21002122102110 = 23523229409324979
BaseRepresentation
bin1001100011001111100000…
…00001110000010101011110
32202100210010222222212222020
410301213300001300111132
510223044321224231420
6112400124112401010
74265232110240352
oct461476001602536
982323128885866
1021002122102110
116767a4a447726
122432428246166
13b946511085a6
14528718465462
152664a7a7d340
hex1319f007055e

21002122102110 has 128 divisors (see below), whose sum is σ = 52955620992000. Its totient is φ = 5320612611072.

The previous prime is 21002122102061. The next prime is 21002122102183. The reversal of 21002122102110 is 1120122120012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21002122102110.

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, 64463601 + ... + 64788579.

It is an arithmetic number, because the mean of its divisors is an integer number (413715789000).

Almost surely, 221002122102110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002122102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26477810496000).

21002122102110 is an abundant number, since it is smaller than the sum of its proper divisors (31953498889890).

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

21002122102110 is a wasteful number, since it uses less digits than its factorization.

21002122102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325650.

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

Adding to 21002122102110 its reverse (1120122120012), we get a palindrome (22122244222122).

The spelling of 21002122102110 in words is "twenty-one trillion, two billion, one hundred twenty-two million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 229 230 345 409 458 687 690 818 1145 1227 1374 2045 2290 2454 3435 4090 5267 6135 6870 9407 10534 12270 15801 18814 26335 28221 31602 47035 52670 56442 79005 93661 94070 141105 158010 187322 280983 282210 324979 468305 561966 649958 936610 974937 1404915 1624895 1949874 2154203 2809830 3249790 4308406 4874685 6462609 7474517 9749370 10771015 12925218 14949034 21542030 22423551 32313045 37372585 44847102 64626090 74420191 74745170 112117755 132916411 148840382 223260573 224235510 265832822 372100955 398749233 446521146 664582055 744201910 797498466 1116302865 1329164110 1711664393 1993746165 2232605730 3057077453 3423328786 3987492330 5134993179 6114154906 8558321965 9171232359 10269986358 15285387265 17116643930 18342464718 25674965895 30437858119 30570774530 45856161795 51349931790 60875716238 91313574357 91712323590 152189290595 182627148714 304378581190 456567871785 700070736737 913135743570 1400141473474 2100212210211 3500353683685 4200424420422 7000707367370 10501061051055 21002122102110