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20211222030104 = 2375912788154673
BaseRepresentation
bin1001001100001110010101…
…01101011010011100011000
32122120011200210222101102202
410212013022231122130120
510122120040314430404
6110552523543145332
74154132631451550
oct446071255323430
978504623871382
1020211222030104
116492592a26586
1223250a1445248
13b37baa528cc1
144dc32a8c8160
15250b1860621e
hex1261cab5a718

20211222030104 has 128 divisors (see below), whose sum is σ = 44441826508800. Its totient is φ = 8438347653120.

The previous prime is 20211222030101. The next prime is 20211222030187. The reversal of 20211222030104 is 40103022211202.

It is a super-2 number, since 2×202112220301042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211222030101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369647312 + ... + 369701984.

It is an arithmetic number, because the mean of its divisors is an integer number (347201769600).

Almost surely, 220211222030104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211222030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220913254400).

20211222030104 is an abundant number, since it is smaller than the sum of its proper divisors (24230604478696).

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

20211222030104 is a wasteful number, since it uses less digits than its factorization.

20211222030104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55753 (or 55749 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20211222030104 its reverse (40103022211202), we get a palindrome (60314244241306).

The spelling of 20211222030104 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 59 118 127 236 254 413 472 508 826 881 889 1016 1652 1762 1778 3304 3524 3556 6167 7048 7112 7493 12334 14986 24668 29972 49336 51979 52451 54673 59944 103958 104902 109346 111887 207916 209804 218692 223774 363853 382711 415832 419608 437384 447548 727706 765422 783209 895096 1455412 1530844 1566418 2910824 3061688 3132836 3225707 6265672 6451414 6601333 6943471 12902828 13202666 13886942 22579949 25805656 26405332 27773884 45159898 46209331 48166913 48604297 52810664 55547768 90319796 92418662 96333826 97208594 180639592 184837324 192667652 194417188 337168391 369674648 385335304 388834376 409664789 674336782 819329578 1348673564 1638659156 2697347128 2841847867 2867653523 3277318312 5683695734 5735307046 6117197951 11367391468 11470614092 12234395902 19892935069 22734782936 22941228184 24468791804 39785870138 42820385657 48937583608 79571740276 85640771314 159143480552 171281542628 342563085256 360914679109 721829358218 1443658716436 2526402753763 2887317432872 5052805507526 10105611015052 20211222030104