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20102222221101 = 32233783241131213
BaseRepresentation
bin1001001001000011010011…
…10100001000111100101101
32122011202100102121101011200
410210201221310020330231
510113323322342033401
6110430500003040113
74143223543406046
oct444415164107455
978152312541150
1020102222221101
11645033941a7a9
122307b41670039
13b2a8293051b7
144d6d4a4a18cd
1524cd8922b686
hex124869d08f2d

20102222221101 has 96 divisors (see below), whose sum is σ = 31623724484352. Its totient is φ = 12270862264320.

The previous prime is 20102222221091. The next prime is 20102222221141. The reversal of 20102222221101 is 10112222220102.

It is a happy number.

20102222221101 is a `hidden beast` number, since 20 + 102 + 222 + 221 + 101 = 666.

It is not a de Polignac number, because 20102222221101 - 27 = 20102222220973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102222221141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153137371 + ... + 153268583.

It is an arithmetic number, because the mean of its divisors is an integer number (329413796712).

Almost surely, 220102222221101 is an apocalyptic number.

It is an amenable number.

20102222221101 is a deficient number, since it is larger than the sum of its proper divisors (11521502263251).

20102222221101 is a wasteful number, since it uses less digits than its factorization.

20102222221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131603 (or 131600 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102222221101 its reverse (10112222220102), we get a palindrome (30214444441203).

Subtracting from 20102222221101 its reverse (10112222220102), we obtain a palindrome (9990000000999).

The spelling of 20102222221101 in words is "twenty trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 23 37 69 83 111 207 241 249 333 723 747 851 1909 2169 2553 3071 5543 5727 7659 8917 9213 16629 17181 20003 26751 27639 49887 60009 70633 80253 131213 180027 205091 211899 393639 460069 615273 635697 740111 1180917 1380207 1845819 2220333 3017899 4140621 4854881 6660999 9053697 10890679 14564643 17022553 27161091 31622333 32672037 43693929 51067659 94866999 98016111 111662263 153202977 250485617 284600997 334986789 402955123 727313659 751456851 1004960367 1170026321 1208865369 2181940977 2254370553 2624653639 3510078963 3626596107 6545822931 7873960917 9267967829 10530236889 23621882751 26910605383 27803903487 60367033697 80731816149 83411710461 97112184643 181101101091 242195448447 291336553929 543303303273 874009661787 2233580246789 6700740740367 20102222221101