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211002111112 = 231359972411471
BaseRepresentation
bin1100010010000010110…
…1001011010010001000
3202011122002200211122011
43010200231023102020
511424113020023422
6240533311305304
721146554231462
oct3044055132210
9664562624564
10211002111112
1181538211111
1234a8821b234
1316b888056b0
14a2d9381132
15574e2ce077
hex3120b4b488

211002111112 has 128 divisors (see below), whose sum is σ = 439865395200. Its totient is φ = 94290739200.

The previous prime is 211002111107. The next prime is 211002111161. The reversal of 211002111112 is 211111200112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211002111092 and 211002111101.

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, 143440537 + ... + 143442007.

It is an arithmetic number, because the mean of its divisors is an integer number (3436448400).

Almost surely, 2211002111112 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 211002111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219932697600).

211002111112 is an abundant number, since it is smaller than the sum of its proper divisors (228863284088).

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

211002111112 is a wasteful number, since it uses less digits than its factorization.

211002111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211002111112 its reverse (211111200112), we get a palindrome (422113311224).

The spelling of 211002111112 in words is "two hundred eleven billion, two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 59 97 104 118 194 236 241 388 472 482 767 776 964 1261 1471 1534 1928 2522 2942 3068 3133 5044 5723 5884 6136 6266 10088 11446 11768 12532 14219 19123 22892 23377 25064 28438 38246 45784 46754 56876 74399 76492 86789 93508 113752 142687 148798 152984 173578 184847 187016 285374 297596 303901 347156 354511 369694 570748 595192 607802 694312 709022 739388 1128257 1141496 1215604 1379243 1418044 1478776 1854931 2256514 2431208 2758486 2836088 3709862 4513028 4608643 5516972 7419724 8418533 9026056 9217286 11033944 14839448 16837066 17930159 18434572 20916149 33674132 34387567 35860318 36869144 41832298 67348264 68775134 71720636 83664596 109440929 137550268 143441272 167329192 218881858 271909937 275100536 437763716 447038371 543819874 875527432 894076742 1087639748 1788153484 2028866453 2175279496 3576306968 4057732906 8115465812 16230931624 26375263889 52750527778 105501055556 211002111112