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211110120201112 = 2311101281119370853
BaseRepresentation
bin110000000000000011100111…
…101110010001101110011000
31000200110221010020212120011221
4300000003213232101232120
5210132312011232413422
62024554352251101424
762316126403001146
oct6000034756215630
91020427106776157
10211110120201112
11612a2332251230
121b816680141874
1390a47a2a77442
143a1bada30c596
1519616d31863c7
hexc000e7b91b98

211110120201112 has 128 divisors (see below), whose sum is σ = 438016514483520. Its totient is φ = 94590254080000.

The previous prime is 211110120201109. The next prime is 211110120201119. The reversal of 211110120201112 is 211102021011112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211110120201119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2979515478 + ... + 2979586330.

Almost surely, 2211110120201112 is an apocalyptic number.

211110120201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219008257241760).

211110120201112 is an abundant number, since it is smaller than the sum of its proper divisors (226906394282408).

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

211110120201112 is a wasteful number, since it uses less digits than its factorization.

211110120201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72445 (or 72441 counting only the distinct ones).

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

Adding to 211110120201112 its reverse (211102021011112), we get a palindrome (422212141212224).

The spelling of 211110120201112 in words is "two hundred eleven trillion, one hundred ten billion, one hundred twenty million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 281 404 562 808 1111 1124 1193 2222 2248 2386 3091 4444 4772 6182 8888 9544 12364 13123 24728 26246 28381 52492 56762 70853 104984 113524 120493 141706 227048 240986 283412 312191 335233 481972 566824 624382 670466 779383 963944 1248764 1325423 1340932 1558766 2497528 2650846 2681864 3117532 3687563 5301692 6235064 7156153 7375126 10603384 14312306 14750252 19909693 28624612 29500504 33858533 39819386 57249224 67717066 78717683 79638772 84527629 135434132 157435366 159277544 169055258 219006623 270868264 314870732 338110516 372443863 438013246 629741464 676221032 744887726 876026492 929803919 1489775452 1752052984 1859607838 2010878993 2979550904 3719215676 4021757986 7438431352 8043515972 8537290529 16087031944 17074581058 22119668923 23752263749 34149162116 44239337846 47504527498 68298324232 88478675692 93910195819 95009054996 176957351384 187820391638 190018109992 261274901239 375640783276 522549802478 751281566552 1045099604956 2090199209912 2398978638649 4797957277298 9595914554596 19191829109192 26388765025139 52777530050278 105555060100556 211110120201112