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110212111201101 = 37132231526988427
BaseRepresentation
bin11001000011110011000001…
…101111001111001101001101
3112110020011201112012020012020
4121003303001233033031031
5103421203400431413401
61030222424523000353
732133363600134010
oct3103630157171515
9473204645166166
10110212111201101
113213176a604aa8
121043ba190690b9
134965c5a7bb100
141d3041a709377
15cb1d0b070d36
hex643cc1bcf34d

110212111201101 has 96 divisors (see below), whose sum is σ = 189775939184640. Its totient is φ = 55602031110912.

The previous prime is 110212111201079. The next prime is 110212111201109. The reversal of 110212111201101 is 101102111212011.

It is not a de Polignac number, because 110212111201101 - 229 = 110211574330189 is a prime.

It is a super-2 number, since 2×1102121112011012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212111201109) 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, 1246318450 + ... + 1246406876.

It is an arithmetic number, because the mean of its divisors is an integer number (1976832699840).

Almost surely, 2110212111201101 is an apocalyptic number.

It is an amenable number.

110212111201101 is a deficient number, since it is larger than the sum of its proper divisors (79563827983539).

110212111201101 is a wasteful number, since it uses less digits than its factorization.

110212111201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103755 (or 103742 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110212111201101 its reverse (101102111212011), we get a palindrome (211314222413112).

The spelling of 110212111201101 in words is "one hundred ten trillion, two hundred twelve billion, one hundred eleven million, two hundred one thousand, one hundred one".

Divisors: 1 3 7 13 21 23 39 69 91 161 169 273 299 483 507 897 1183 2093 3549 3887 6279 11661 15269 27209 45807 81627 88427 106883 198497 265281 320649 351187 595491 618989 1053561 1149551 1389479 1856967 2033821 2458309 2580461 3448653 4168437 4565431 6101463 7374927 7741383 8046857 13696293 14236747 14944163 18063227 24140571 26439673 31958017 42710241 44832489 54189681 59350603 79319019 95874051 104609141 178051809 185077711 313827423 343715749 415454221 555233133 1031147247 1246362663 1350191863 2406010243 4050575589 7218030729 9451343041 17552494219 28354029123 31054412849 52657482657 93163238547 122867459533 217380889943 228182424847 368602378599 403707367037 652142669829 684547274541 1211122101111 1597276973929 2825951569259 4791830921787 5248195771481 8477854707777 15744587314443 36737370400367 110212111201101