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121101310211112 = 233271121985788243
BaseRepresentation
bin11011100010010000011000…
…100100111011010000101000
3120212210011122112020102102200
4123202100120210323100220
5111333110440403223422
61105321101320500200
734336165234421160
oct3342203044732050
9525704575212380
10121101310211112
113564a860567200
12116ba2b391a660
135275a5c7a689a
1421c94985555a0
15e001ca1622ac
hex6e241893b428

121101310211112 has 144 divisors (see below), whose sum is σ = 412011344865120. Its totient is φ = 31454885753280.

The previous prime is 121101310211093. The next prime is 121101310211117. The reversal of 121101310211112 is 211112013101121.

121101310211112 is a `hidden beast` number, since 1 + 21 + 10 + 1 + 310 + 211 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121101310211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 992833138 + ... + 992955105.

Almost surely, 2121101310211112 is an apocalyptic number.

121101310211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121101310211112 is an abundant number, since it is smaller than the sum of its proper divisors (290910034654008).

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

121101310211112 is a wasteful number, since it uses less digits than its factorization.

121101310211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985788284 (or 1985788266 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 121101310211112 its reverse (211112013101121), we get a palindrome (332213323312233).

The spelling of 121101310211112 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred ten million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2178 2541 2772 2904 3388 4356 5082 5544 6776 7623 8712 10164 15246 20328 30492 60984 1985788243 3971576486 5957364729 7943152972 11914729458 13900517701 15886305944 17872094187 21843670673 23829458916 27801035402 35744188374 41701553103 43687341346 47658917832 55602070804 65531012019 71488376748 83403106206 87374682692 111204141608 125104659309 131062024038 142976753496 152905694711 166806212412 174749365384 196593036057 240280377403 250209318618 262124048076 305811389422 333612424824 393186072114 458717084133 480560754806 500418637236 524248096152 611622778844 720841132209 786372144228 917434168266 961121509612 1000837274472 1223245557688 1376151252399 1441682264418 1572744288456 1681962641821 1834868336532 1922243019224 2162523396627 2752302504798 2883364528836 3363925283642 3669736673064 4325046793254 5045887925463 5504605009596 5766729057672 6727850567284 8650093586508 10091775850926 11009210019192 13455701134568 15137663776389 17300187173016 20183551701852 30275327552778 40367103403704 60550655105556 121101310211112