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211001200010112 = 27310343312320507
BaseRepresentation
bin101111111110011110001011…
…100100101110001110000000
31000200002111222102022120021210
4233332132023210232032000
5210124020424200310422
62024432340233250120
762305222302440661
oct5776361344561600
91020074872276253
10211001200010112
1161260119685656
121b7b9542b63940
1390974351abb95
143a167266cd368
15195d95ac8710c
hexbfe78b92e380

211001200010112 has 128 divisors (see below), whose sum is σ = 567220418069760. Its totient is φ = 69490019377152.

The previous prime is 211001200010101. The next prime is 211001200010131. The reversal of 211001200010112 is 211010002100112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10965763 + ... + 23286269.

It is an arithmetic number, because the mean of its divisors is an integer number (4431409516170).

Almost surely, 2211001200010112 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 211001200010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283610209034880).

211001200010112 is an abundant number, since it is smaller than the sum of its proper divisors (356219218059648).

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

211001200010112 is a wasteful number, since it uses less digits than its factorization.

211001200010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321060 (or 12321048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211001200010112 its reverse (211010002100112), we get a palindrome (422011202110224).

The spelling of 211001200010112 in words is "two hundred eleven trillion, one billion, two hundred million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 433 618 824 866 1236 1299 1648 1732 2472 2598 3296 3464 4944 5196 6592 6928 9888 10392 13184 13856 19776 20784 27712 39552 41568 44599 55424 83136 89198 133797 166272 178396 267594 356792 535188 713584 1070376 1427168 2140752 2854336 4281504 5708672 8563008 12320507 17126016 24641014 36961521 49282028 73923042 98564056 147846084 197128112 295692168 394256224 591384336 788512448 1182768672 1269012221 1577024896 2365537344 2538024442 3807036663 4731074688 5076048884 5334779531 7614073326 10152097768 10669559062 15228146652 16004338593 20304195536 21339118124 30456293304 32008677186 40608391072 42678236248 60912586608 64017354372 81216782144 85356472496 121825173216 128034708744 162433564288 170712944992 243650346432 256069417488 341425889984 487300692864 512138834976 549482291693 682851779968 1024277669952 1098964583386 1648446875079 2048555339904 2197929166772 3296893750158 4395858333544 6593787500316 8791716667088 13187575000632 17583433334176 26375150001264 35166866668352 52750300002528 70333733336704 105500600005056 211001200010112