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210211020202112 = 27171312423304349
BaseRepresentation
bin101111110010111110010001…
…001011111110000010000000
31000120021222101102121021012222
4233302332101023332002000
5210023044132132431422
62023025335353510212
762164150021052216
oct5762762113760200
91016258342537188
10210211020202112
1160a85aa1794516
121b6b0379412368
13903aa778b5307
1439ca3a6682cb6
15194810eb86842
hexbf2f912fe080

210211020202112 has 128 divisors (see below), whose sum is σ = 446984577072000. Its totient is φ = 98126859550720.

The previous prime is 210211020202103. The next prime is 210211020202133. The reversal of 210211020202112 is 211202020112012.

210211020202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17).

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, 690538514 + ... + 690842862.

It is an arithmetic number, because the mean of its divisors is an integer number (3492067008375).

Almost surely, 2210211020202112 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 210211020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223492288536000).

210211020202112 is an abundant number, since it is smaller than the sum of its proper divisors (236773556869888).

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

210211020202112 is a wasteful number, since it uses less digits than its factorization.

210211020202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306934 (or 306922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 210211020202112 its reverse (211202020112012), we get a palindrome (421413040314124).

The spelling of 210211020202112 in words is "two hundred ten trillion, two hundred eleven billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 262 272 524 544 1048 1088 2096 2176 2227 2423 4192 4454 4846 8384 8908 9692 16768 17816 19384 35632 38768 41191 71264 77536 82382 142528 155072 164764 285056 304349 310144 317413 329528 608698 634826 659056 1217396 1269652 1318112 2434792 2539304 2636224 4869584 5078608 5173933 5272448 5396021 9739168 10157216 10347866 10792042 19478336 20314432 20695732 21584084 38956672 39869719 40628864 41391464 43168168 79739438 82782928 86336336 159478876 165565856 172672672 318957752 331131712 345345344 637915504 662263424 677785223 690690688 737437627 1275831008 1355570446 1474875254 2551662016 2711140892 2949750508 5103324032 5422281784 5899501016 10844563568 11799002032 12536439659 21689127136 23598004064 25072879318 43378254272 47196008128 50145758636 86756508544 94392016256 96604329137 100291517272 193208658274 200583034544 386417316548 401166069088 772834633096 802332138176 1545669266192 1604664276352 1642273595329 3091338532384 3284547190658 6182677064768 6569094381316 12365354129536 13138188762632 26276377525264 52552755050528 105105510101056 210211020202112