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201102120000111 = 31119101197101315913
BaseRepresentation
bin101101101110011010111100…
…011011010001101001101111
3222101001011201111211222201210
4231232122330123101221233
5202324324120210000421
61551413012154005503
760234102001615431
oct5556327433215157
9871034644758653
10201102120000111
1159093a26022850
121a67ab31116893
138829b05338495
1437935748a2651
15183b1dac08576
hexb6e6bc6d1a6f

201102120000111 has 128 divisors (see below), whose sum is σ = 312862782735360. Its totient is φ = 113622372864000.

The previous prime is 201102120000077. The next prime is 201102120000121. The reversal of 201102120000111 is 111000021201102.

It is not a de Polignac number, because 201102120000111 - 27 = 201102119999983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102120000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12637591491 + ... + 12637607403.

It is an arithmetic number, because the mean of its divisors is an integer number (2444240490120).

Almost surely, 2201102120000111 is an apocalyptic number.

201102120000111 is a deficient number, since it is larger than the sum of its proper divisors (111760662735249).

201102120000111 is a wasteful number, since it uses less digits than its factorization.

201102120000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17257.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201102120000111 its reverse (111000021201102), we get a palindrome (312102141201213).

The spelling of 201102120000111 in words is "two hundred one trillion, one hundred two billion, one hundred twenty million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 11 19 33 57 101 197 209 303 591 627 1013 1111 1919 2167 3039 3333 3743 5757 6501 11143 11229 15913 19247 19897 21109 33429 41173 47739 57741 59691 63327 102313 123519 175043 199561 211717 218867 302347 306939 378043 525129 598683 635151 656601 907041 1125443 1134129 1607213 1943947 2195171 3134861 3325817 3376329 3791659 4158473 4821639 5831841 6585513 9404583 9977451 11374977 12475419 16119869 17679343 20155661 21383417 30537047 34483471 41708249 48359607 53038029 59562359 60466983 64150251 91611141 103450413 125124747 177318559 178687077 221712271 306277511 316620961 335907517 382957559 531955677 655185949 665136813 918832533 949862883 1007722551 1148872677 1628106769 1965557847 3175614193 3369052621 3482830571 4212533149 4884320307 6015798259 9526842579 10107157863 10448491713 12637599447 17909174459 18047394777 30934028611 34931756123 53727523377 60336669667 66173780849 92802085833 104795268369 181010009001 198521342547 320737033493 340274314721 663703366337 962211100479 1020822944163 1991110099011 3528107368423 6094003636367 10584322105269 18282010909101 67034040000037 201102120000111