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220011001102002 = 231159792017354581
BaseRepresentation
bin110010000001100101001101…
…100100010011111010110010
31001211222211211221121110010110
4302001211031210103322302
5212314130012240231002
62055531354131242150
764225161464222205
oct6201451544237262
91054884757543113
10220011001102002
11641141614a1120
1220813733149356
13959bc43794a16
143c48836d5b93c
151a67eceb30e6c
hexc8194d913eb2

220011001102002 has 128 divisors (see below), whose sum is σ = 494585724211200. Its totient is φ = 64678115174400.

The previous prime is 220011001101967. The next prime is 220011001102069. The reversal of 220011001102002 is 200201100110022.

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, 620304352 + ... + 620658932.

It is an arithmetic number, because the mean of its divisors is an integer number (3863950970400).

Almost surely, 2220011001102002 is an apocalyptic number.

220011001102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220011001102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247292862105600).

220011001102002 is an abundant number, since it is smaller than the sum of its proper divisors (274574723109198).

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

220011001102002 is a wasteful number, since it uses less digits than its factorization.

220011001102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356752.

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

Adding to 220011001102002 its reverse (200201100110022), we get a palindrome (420212101212024).

The spelling of 220011001102002 in words is "two hundred twenty trillion, eleven billion, one million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 59 66 79 118 158 177 237 354 474 649 869 1298 1738 1947 2017 2607 3894 4034 4661 5214 6051 9322 12102 13983 22187 27966 44374 51271 66561 102542 119003 133122 153813 159343 238006 307626 318686 354581 357009 478029 709162 714018 956058 1063743 1309033 1752773 2127486 2618066 3505546 3900391 3927099 5258319 7800782 7854198 9401237 10516638 11701173 18802474 20920279 23402346 28011899 28203711 41840558 56023798 56407422 62760837 84035697 103413607 125521674 168071394 206827214 230123069 308130889 310240821 460246138 616261778 620481642 690369207 715189877 924392667 1380738414 1430379754 1652702041 1848785334 2145569631 3305404082 4291139262 4958106123 7867088647 9916212246 15734177294 18179722451 23601265941 36359444902 42196202743 47202531882 54539167353 56500000283 84392405486 109078334706 113000000566 126588608229 169500000849 253177216458 339000001698 464158230173 621500003113 928316460346 1243000006226 1392474690519 1864500009339 2784949381038 3333500016697 3729000018678 6667000033394 10000500050091 20001000100182 36668500183667 73337000367334 110005500551001 220011001102002