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211113442111312 = 2413101139307235493
BaseRepresentation
bin110000000000000110101101…
…101110010110111101010000
31000200111020200202122002022001
4300000012231232112331100
5210132340312140030222
62025000102035123344
762316304620526426
oct6000065556267520
91020436622562261
10211113442111312
11612a37873a0564
121b817248743554
1390a4bb205b490
143a1bd3358d116
151961829b15e27
hexc001adb96f50

211113442111312 has 160 divisors (see below), whose sum is σ = 449519462663040. Its totient is φ = 95465819289600.

The previous prime is 211113442111291. The next prime is 211113442111357. The reversal of 211113442111312 is 213111244311112.

It is a happy number.

It is a super-2 number, since 2×2111134421113122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896356638 + ... + 896592130.

It is an arithmetic number, because the mean of its divisors is an integer number (2809496641644).

Almost surely, 2211113442111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211113442111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224759731331520).

211113442111312 is an abundant number, since it is smaller than the sum of its proper divisors (238406020551728).

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

211113442111312 is a wasteful number, since it uses less digits than its factorization.

211113442111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236061 (or 236055 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

Adding to 211113442111312 its reverse (213111244311112), we get a palindrome (424224686422424).

The spelling of 211113442111312 in words is "two hundred eleven trillion, one hundred thirteen billion, four hundred forty-two million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 101 104 139 202 208 278 307 404 556 614 808 1112 1228 1313 1616 1807 2224 2456 2626 3614 3991 4912 5252 7228 7982 10504 14039 14456 15964 21008 28078 28912 31007 31928 42673 56156 62014 63856 85346 112312 124028 170692 182507 224624 235493 248056 341384 365014 403091 470986 496112 554749 682768 730028 806182 941972 1109498 1460056 1612364 1883944 2218996 2920112 3061409 3224728 3767888 4309973 4437992 6122818 6449456 8619946 8875984 12245636 17239892 23784793 24491272 32733527 34479784 47569586 48982544 56029649 65467054 68959568 72296351 95139172 112059298 130934108 144592702 190278344 224118596 261868216 289185404 309202309 380556688 425535851 448237192 523736432 578370808 618404618 851071702 896474384 939852563 1156741616 1236809236 1702143404 1879705126 2473618472 3306086227 3404286808 3759410252 4947236944 6612172454 6808573616 7301931451 7518820504 10049192789 13224344908 14603862902 15037641008 20098385578 26448689816 29207725804 40196771156 42979120951 52897379632 58415451608 80393542312 85958241902 94925108863 116830903216 130639506257 160787084624 171916483804 189850217726 261279012514 343832967608 379700435452 522558025028 687665935216 759400870904 1014968471689 1045116050056 1518801741808 2029936943378 2090232100112 4059873886756 8119747773512 13194590131957 16239495547024 26389180263914 52778360527828 105556721055656 211113442111312