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211120100002112 = 2671261337362263
BaseRepresentation
bin110000000000001100111010…
…100100001100100101000000
31000200111212212202121222111012
4300000030322210030211000
5210132442431100031422
62025003122432540052
762316631613624660
oct6000147244144500
91020455782558435
10211120100002112
11612a659361a454
121b8185a63b1628
1390a5703511a32
143a1c3a58d41a0
151961ab93a44e2
hexc0033a90c940

211120100002112 has 56 divisors (see below), whose sum is σ = 478828199665536. Its totient is φ = 90472866882048.

The previous prime is 211120100002073. The next prime is 211120100002187. The reversal of 211120100002112 is 211200001021112.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13030508 + ... + 24331755.

It is an arithmetic number, because the mean of its divisors is an integer number (8550503565456).

Almost surely, 2211120100002112 is an apocalyptic number.

It is an amenable number.

211120100002112 is an abundant number, since it is smaller than the sum of its proper divisors (267708099663424).

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

211120100002112 is a wasteful number, since it uses less digits than its factorization.

211120100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37374895 (or 37374885 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211120100002112 its reverse (211200001021112), we get a palindrome (422320101023224).

The spelling of 211120100002112 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 12613 25226 50452 88291 100904 176582 201808 353164 403616 706328 807232 1412656 2825312 5650624 37362263 74724526 149449052 261535841 298898104 523071682 597796208 1046143364 1195592416 2092286728 2391184832 4184573456 8369146912 16738293824 471250223219 942500446438 1885000892876 3298751562533 3770001785752 6597503125066 7540003571504 13195006250132 15080007143008 26390012500264 30160014286016 52780025000528 105560050001056 211120100002112